Videos

Video thumbnail for Using Function Notation - What is f(x)?
02:48
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Using Function Notation - What is f(x)?

What is f(x)? It is a different way of writing "y" in equations, but it's much more useful!
YouTube
· Sep 12, 2011
Video thumbnail for The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan Academy
11:05
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The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-2/v/calculus-derivatives-2-5-new-hd-version Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/alternate ...
YouTube
· Nov 2, 2009
Video thumbnail for Evaluating Functions - Basic Introduction | Algebra
11:49
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Evaluating Functions - Basic Introduction | Algebra

This algebra 2 math video tutorial provides an introduction into function notation. It discusses evaluating functions with a single variable x and using 2 variables x and y. It explains how to find the missing x or y variable using techniques such as factoring trinomials, GCF, and by grouping in addition to using the quadratic formula. This ...
YouTube
· May 4, 2017
Video thumbnail for Verifying Inverse Functions | Precalculus
12:06
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Verifying Inverse Functions | Precalculus

This precalculus video tutorial explains how to verify inverse functions. It discusses how to determine if two functions are inverses of each other by checking the composite functions of f(x) and g(x) to see whether or not it's equal to x. This video contains plenty of examples and practice problems. Functions - Free Formula Sheet: https://www ...
YouTube
· Feb 11, 2018
Video thumbnail for Function Operations
07:10
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Function Operations

This algebra video tutorial provides a basic introduction into operation of functions. It explains how to add and subtract functions as well as multiply and divide functions. Functions - Free Formula Sheet: https://www.video-tutor.net/precalculus-formula-sheets.html Functions - Video Lessons: https://www.video-tutor.net/functions.html Final ...
YouTube
· Feb 2, 2018
Video thumbnail for How To Find The Inverse of a Function
11:36
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How To Find The Inverse of a Function

This algebra 2 and precalculus video tutorial explains how to find the inverse of a function using a very simple process. First, replace f(x) with y. Next, switch x with y. Finally, solve for the y variable and that's it. This video contains examples and practice problems that include fractions, radicals, square roots, cube roots, linear ...
YouTube
· Sep 9, 2017
Video thumbnail for How to Find f(2) For a Given Function
01:06
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How to Find f(2) For a Given Function

This function video tutorial explains how to calculate f(2) and what this notation means with relation to a given function. f(2) means that we want to find the value of a function f(x) when x is equal to 2.
YouTube
· Jan 21, 2022
Video thumbnail for Definition of the Derivative
23:31
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Definition of the Derivative

This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It explains how to find the derivative of a function using the limit process. This video contains plenty of examples and practice problems. Derivatives - Free Formula Sheet: https://www.video ...
YouTube
· Feb 22, 2018
Video thumbnail for Sketching Derivatives From Parent Functions - f f' f' Graphs - f(x), Calculus
31:21
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Sketching Derivatives From Parent Functions - f f' f' Graphs - f(x), Calculus

This calculus video tutorial explains how to sketch the derivatives of the parent function using the graph f(x). This video contains plenty of examples and practice problems. Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Derivative Applications - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets ...
YouTube
· Dec 5, 2016
Video thumbnail for Composite Functions
05:23
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Composite Functions

This algebra video tutorial provides a basic introduction into composite functions. it explains how to evaluate composite functions. This video contains a few examples and practice problems. Algebra Review: https://www.youtube.com/watch?v=i6sbjtJjJ-A _______________________________ Functions - Free Formula Sheet: https://www.video-tutor.net ...
YouTube
· Feb 2, 2018
Video thumbnail for Learn Functions – Understand In 7 Minutes
09:43
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Learn Functions – Understand In 7 Minutes

Learning about functions is critical in math, especially in Algebra. Many students struggle with the concept of what a function is and how to determine is a relation is a function. This video will explain in detail the foundation of what a function is in algebra to include how to evaluate a function and what the domain and range represent with ...
YouTube
· Mar 5, 2021
Video thumbnail for Calculus - How to find the derivative of a function using the power rule
05:21
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Calculus - How to find the derivative of a function using the power rule

This video shows how to find the derivative of a function using the power rule. Remember that this rule only works on functions of the form x^n where n is not equal to zero. For more videos please visit http://www.mysecretmathtutor.com
YouTube
· Sep 5, 2013
Video thumbnail for Introduction to Inverse Functions
12:16
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Introduction to Inverse Functions

This algebra video tutorial provides a basic introduction into inverse functions. it explains how to find the inverse function by switching the x and y variables. It also explains how to prove if two functions are inverses of each by checking to see if the composite functions of f(g(x)) and g(f(x)) are equal to x. In addition, it explains how ...
YouTube
· Feb 2, 2018
Video thumbnail for Linear Approximation, Differentials, Tangent Line, Linearization, f(x), dy, dx - Calculus
54:42
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Linear Approximation, Differentials, Tangent Line, Linearization, f(x), dy, dx - Calculus

This calculus video shows you how to find the linear approximation L(x) of a function f(x) at some point a. The linearization of f(x) is the tangent line function at f(a). Derivative Applications - Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w ...
YouTube
· Oct 21, 2016
Video thumbnail for Inverse Functions - Domain & range- With Fractions, Square Roots, & Graphs
23:12
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Inverse Functions - Domain & range- With Fractions, Square Roots, & Graphs

This algebra video tutorial explains how to find the inverse function and express the domain and range using interval notation. It includes examples with fractions, square roots, and graphs. Domain & Range - Formula Sheet: https://www.video-tutor.net/precalculus-formula-sheets.html Functions - Video Lessons: https://www.video-tutor.net ...
YouTube
· Sep 7, 2016
Video thumbnail for Fundamental Thereom of Calculus Explained - Part 1 & 2 Examples - Definite Integral
41:34
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Fundamental Thereom of Calculus Explained - Part 1 & 2 Examples - Definite Integral

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f ...
YouTube
· Nov 2, 2016
Video thumbnail for Graphing a Basic Function
05:36
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Graphing a Basic Function

u17_l2_t2_we1 Graphing a Basic Function More free lessons at: http://www.khanacademy.org/video?v=2-dUHLHeyTY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
YouTube
· Nov 7, 2011
Video thumbnail for How to determine the intervals that a function is increasing decreasing or constant
02:56
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How to determine the intervals that a function is increasing decreasing or constant

👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function. A function is increasing when the graph of the function rises from left to right and is decreasing when ...
YouTube
· Sep 2, 2015
Video thumbnail for Find the value k that makes the function continuous
02:50
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Find the value k that makes the function continuous

👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the equation of the other constraints at the point or the interval where the hole is or we look for a different rule ...
YouTube
· Sep 15, 2017
Video thumbnail for Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy
09:32
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Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy

More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2 Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/derivative-intuition-module?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the ...
YouTube
· Oct 3, 2007
Video thumbnail for Difference Quotient
13:38
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Difference Quotient

This precalculus video tutorial provides a basic introduction into the difference quotient. It explains how to find the difference quotient of a function with fractions and how to find the difference quotient with square roots. This video contains plenty of examples and practice problems. Functions - Free Formula Sheet: https://www.video-tutor ...
YouTube
· Feb 10, 2018
Video thumbnail for Derivatives of Radical Functions
15:30
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Derivatives of Radical Functions

This calculus video tutorial explains how to find the derivative of radical functions using the power rule and chain rule for derivatives. It explains how to find the derivative of square root functions and cube root functions. Derivatives - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Derivatives - Video Lessons ...
YouTube
· Feb 26, 2018
Video thumbnail for Probability Density Functions
11:46
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Probability Density Functions

This calculus 2 video tutorial provides a basic introduction into probability density functions. It explains how to find the probability that a continuous random variable such as x in somewhere between two values by evaluating the definite integral from a to b. The probability is equivalent to the area under the curve. This video also contains ...
YouTube
· Mar 24, 2018
Video thumbnail for Riemann Sums - Left Endpoints and Right Endpoints
20:10
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Riemann Sums - Left Endpoints and Right Endpoints

This calculus video tutorial provides a basic introduction into riemann sums. It explains how to approximate the area under the curve using rectangles over a closed interval. It explains how to determine the area of the region using left endpoints and right endpoints. The area under the curve is also equal to the definite integral of the ...
YouTube
· Mar 9, 2018
Video thumbnail for Finding Critical Numbers
21:19
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Finding Critical Numbers

This calculus video tutorial explains how to find the critical numbers of a function. These include trig functions, absolute value functions, rational functions, fractions, square roots and more. To find the critical number, find the first derivative of the function, set it equal to zero, and solve for x. If you have a fraction as a derivative ...
YouTube
· Mar 3, 2018
Video thumbnail for Given fx sketch the first and second derivative graph
04:09
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Given fx sketch the first and second derivative graph

👉 Learn all about the applications of the derivative. Differentiation allows us to determine the change at a given point. We will use that understanding as well as different theorems such as FTOA, IVT, EVT, MVT, Rolle's Theorem, first derivative test, and the second derivative test. All of these theorems are based on applying the derivative ...
YouTube
· Jan 16, 2018
Video thumbnail for Evaluating Functions (basics)
08:16
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Evaluating Functions (basics)

Five worked-out examples demonstrating the basics of evaluating functions at a given value. For example: find f(2) when f(x) = 3x + 1. Be sure to pay attention to the last example, which is a classic trouble-spot for algebra students (double negative). Recorded with ScreenFlow, Acorn, and a Wacom tablet.
YouTube
· Apr 6, 2012
Video thumbnail for Introduction to function inverses | Functions and their graphs | Algebra II | Khan Academy
09:05
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Introduction to function inverses | Functions and their graphs | Algebra II | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now:https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inverse-functions-intro/v/introduction-to-function-inverses Introduction to Function Inverses Practice this lesson yourself on KhanAcademy.org right now: https ...
YouTube
· Jan 1, 2009
Video thumbnail for Finding The Area Using The Limit Definition & Sigma Notation
13:18
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Finding The Area Using The Limit Definition & Sigma Notation

This calculus video tutorial explains how to find the area using the limit definition with sigma notation and summation formulas. Integration Applications - Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Final Exam and Test Prep Videos: https ...
YouTube
· Mar 9, 2018
Video thumbnail for Graph f(x)=2^x
05:40
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Graph f(x)=2^x

In this math video lesson I review how to graph the exponential equation y=2^x by making a table. The table helps when graphing these types of equations. #exponential #exponentialequation #graphing Every Month we have a new GIVEAWAY that is FREE to Enter. See link below for details. https://www.minutemathtutor.com/current-giveaway Graph f(x)=2 ...
YouTube
· Jan 17, 2017
Video thumbnail for Cumulative Distribution Functions and Probability Density Functions
11:02
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Cumulative Distribution Functions and Probability Density Functions

This statistics video tutorial provides a basic introduction into cumulative distribution functions and probability density functions. The probability density function or pdf is f(x) which describes the shape of the distribution. It can tell you if you have a uniform, exponential, or normal distribution. The cumulative distribution function or ...
YouTube
· Sep 21, 2019
Video thumbnail for ff(x). How To Work Out The Composite Function ff(x), The Same Funtion
02:41
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ff(x). How To Work Out The Composite Function ff(x), The Same Funtion

In this video you will be shown how to find the composite function ff(x). This means you need to put the function f into itself. So in example 1 the function f(x) is 5x+1 and you are asked to work out the function ff(x). To do this substitute x in one function to (5x+1), so ff(x) = 5(5x+1)+1. If you expand and simplify you get the final ...
YouTube
· Jun 8, 2022
Video thumbnail for Composite Function Explained - The Basics You NEED To Know!
05:09
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Composite Function Explained - The Basics You NEED To Know!

In today's video, we're going over composite functions - what they are, how they're written, and how to solve them! In short, a composition of functions is created when one function is used as the input for another. Sometimes, you'll be given an actual input value, which would first be solved in the interior function. Then, that output becomes ...
YouTube
· Oct 2, 2022
Video thumbnail for Operations with functions
15:07
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Operations with functions

👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of the two functions. We will then simplify the sum, difference, product, and quotient by combining like ...
YouTube
· Feb 8, 2012
Video thumbnail for Finding derivatives from a graph
05:21
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Finding derivatives from a graph

This video shows you how to estimate the slope of the tangent line of a function from a graph.
YouTube
· Sep 10, 2013
Video thumbnail for Find the domain and range of f(x)=√2-x
05:38
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Find the domain and range of f(x)=√2-x

YouTube
· Dec 10, 2022
Video thumbnail for Find f(2) from graph of f(x)
02:25
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Find f(2) from graph of f(x)

Use a graph of f(x) to determine the value of f(n), where n is a specific x-value Table of Contents: 00:00 - Finding the value of f(2) from a graph of f(x) 00:23 - If you have a problem like this… 00:36 - Remember that… 01:01 - Start by finding 2 on the x-axis 01:15 - Draw a vertical line through x=2 01:24 - Mark the point where the line ...
YouTube
· Dec 8, 2017
Video thumbnail for f(2x) = f(x)
10:11
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f(2x) = f(x)

Let's find all the functions f that satisfy the identity f(2x) = f(x) f(x^2) = f(x): https://youtu.be/JMttb5AsARE Prada Identity: https://youtu.be/UyZiov21i34 Breaking the product: https://youtu.be/lqO3D5Kttjc Multiplicative identity: https://youtu.be/Gjr7u2NI2_k Projective Space Equation: https://youtu.be/4AmrCRW-Jsk Cauchy's functional ...
YouTube
· Feb 15, 2021
Video thumbnail for How to find f(g(x)) – Composite Functions - step-by-step…
11:13
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How to find f(g(x)) – Composite Functions - step-by-step…

How to find a function composite. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizzes. All courses developed and taught by me (experienced and certified math ...
YouTube
· Nov 5, 2022
Video thumbnail for Fourier Series of f(x) =x^2 | BSc Mathematics
11:32
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Fourier Series of f(x) =x^2 | BSc Mathematics

In this video lecture, we have obtain the Fourier series of the f(x) =x^2 in the interval [−𝜋,𝜋]. For Lecture notes, please visit https://tinyurl.com/shantipeaceformathematics
YouTube
· Oct 22, 2020
Video thumbnail for f(x^2) = f(x)
12:45
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f(x^2) = f(x)

Let's find all the functions f that satisfy the identity f(x^2) = f(x) Prada Identity: https://youtu.be/UyZiov21i34 Breaking the product: https://youtu.be/lqO3D5Kttjc Multiplicative identity: https://youtu.be/Gjr7u2NI2_k Projective Space Equation: https://youtu.be/4AmrCRW-Jsk Cauchy's functional identity: https://youtu.be/WnglFnfjjFs Another ...
YouTube
· Feb 13, 2021
Video thumbnail for Find intervals of concavity and inflection points for f = x/x^2+1 Local min max 1st, 2nd derivative
16:59
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Find intervals of concavity and inflection points for f = x/x^2+1 Local min max 1st, 2nd derivative

YouTube
· Nov 18, 2020
Video thumbnail for How to Evaluate the Function f(x) = -5x2 + 2x - 1 at the Given Values: f(-3), -f(a), f(a+h)
08:38
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How to Evaluate the Function f(x) = -5x2 + 2x - 1 at the Given Values: f(-3), -f(a), f(a+h)

Evaluate the function f at the indicated values f(−3), f(2), f(−a), −f(a), f(a + h). f(x) = −5x2 + 2x − 1 Here are all of our Math Playlists: Functions: 📕Functions and Function Notation: https://www.youtube.com/playlist?list=PL_3h4GvKc6GBBVJ78amQA_efjscbZvwr0 📗Domain and Range: https://www.youtube.com/playlist?list=PL ...
YouTube
· Jan 11, 2021
Video thumbnail for Graph Transformations : y=3f(x) and y=f(2x)
02:00
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Graph Transformations : y=3f(x) and y=f(2x)

View my channel: http://www.youtube.com/jayates79
YouTube
· Apr 4, 2013
Video thumbnail for Graphing f(x)=x^2 using a table of values
02:02
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Graphing f(x)=x^2 using a table of values

Graphing the parent quadratic function using a table of values and grid paper.
YouTube
· Jan 19, 2017
Video thumbnail for Find a power series representation for f(x) = x/(2x^2 +1). Determine interval of convergence
04:11
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Find a power series representation for f(x) = x/(2x^2 +1). Determine interval of convergence

YouTube
· Apr 9, 2021
Video thumbnail for Find local max and min values of f= x^2/x-1 by 2/methods: First and second derivative tests.
11:09
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Find local max and min values of f= x^2/x-1 by 2/methods: First and second derivative tests.

YouTube
· Nov 19, 2020
Video thumbnail for Find power series representation for f(x) = (x^2 +x)/(1-x)^3. Radius of convergence
09:00
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Find power series representation for f(x) = (x^2 +x)/(1-x)^3. Radius of convergence

YouTube
· Apr 11, 2021
Video thumbnail for How to find f(x) and g(x) from h(x) = f(g(x))
07:34
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How to find f(x) and g(x) from h(x) = f(g(x))

For the following exercises, find functions f (x) and g(x) so the given function can be expressed as h(x) = f (g(x)). h(x) = 4/(x + 2)2 h(x) = 4 + x(1/3) h(x) = (1/(2x - 3))(1/3) Here are all of our Math Playlists: Functions: 📕Functions and Function Notation: https://www.youtube.com/playlist?list=PL_3h4GvKc6GBBVJ78amQA_efjscbZvwr0 📗Domain ...
YouTube
· Mar 1, 2021
Video thumbnail for The function f is defined by f(x) = ax^2 + bx + c, where a, b, and c are constants. The graph of...
04:30
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The function f is defined by f(x) = ax^2 + bx + c, where a, b, and c are constants. The graph of...

Bluebook Digital SAT Practice Test 6, Section 2, Module 2 (HARD), Question 22: The function f is defined by f(x) = ax^2 + bx + c, where a, b, and c are constants. The graph of y = f(x) in the xy-plane passes through the points (7, 0) and (-3, 0). If a is an integer greater than 1, which of the following could be the value of a + b? KEEP IN ...
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· May 3, 2024