Calculus
'Video thumbnail for Maximum Area of Rectangle form www.analyzemath.com'
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Maximum Area of Rectangle form www.analyzemath.com
Maximum Area of Rectangle form www.analyzemath.com

5K views · Feb 20, 2022 analyzemath.com

A video-applet that uses dynamic pictures to explain the problem of maximizing the area of a rectangle given that the perimeter in constant. More applets may be found at http://www.analyzemath.com

'Video thumbnail for What is the limit of a function?  - Limit of a function -  part 1'
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7:20
What is the limit of a function? - Limit of a function - p...
What is the limit of a function? - Limit of a function - part 1

18K views · Feb 20, 2022 analyzemath.com

A numerical and graphical exploration of what is the concept of a limit in mathematics is presented. More math exploration, tutorials and problems at www.analyzemath.com and www.analyzemath.com/calculus/limits/introduction.html

'Video thumbnail for What is the derivative of a function in math?  - Derivative of a function -  Part 1'
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8:20
What is the derivative of a function in math? - Derivative ...
What is the derivative of a function in math? - Derivative of a function - Part 1

10K views · Feb 20, 2022 analyzemath.com

The concept of the derivative of a function is explained graphically and the origin of the formal definition explained. More in www.analyzemath.com

'Video thumbnail for Important Characteristics of the first derivative -  derivative of a function  -  part 2'
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9:21
Important Characteristics of the first derivative - derivat...
Important Characteristics of the first derivative - derivative of a function - part 2

5K views · Feb 20, 2022 analyzemath.com

Important characteristics of the first derivative of a function are explained. These characteristics are important in problem solving and applications involving the first derivative. More in www.analyzemath.com

'Video thumbnail for Find the derivative of power of x (x^n) using the definition -  derivative of a function  -  part 3'
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7:35
Find the derivative of power of x (x^n) using the definition...
Find the derivative of power of x (x^n) using the definition - derivative of a function - part 3

18K views · Feb 20, 2022 analyzemath.com

The derivative of the function x^n is found using the definition of the derivative with detailed explanations. More in www.analyzemath.com

'Video thumbnail for Derivative of absolute value functions - -  derivative of a function  -  part 4'
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4:25
Derivative of absolute value functions - - derivative of a ...
Derivative of absolute value functions - - derivative of a function - part 4

2K views · Feb 20, 2022 analyzemath.com

The derivatives of absolute value functions are presented for the general case as well as for some pecific examples. see www.analyzemath.com/calculus/Differentiation/absolute_value.html for more examples

'Video thumbnail for Use the chain  rule in differentiation  -  derivative of a function  -  part 5'
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12:29
Use the chain rule in differentiation - derivative of a f...
Use the chain rule in differentiation - derivative of a function - part 5

9K views · Feb 20, 2022 analyzemath.com

The chain rule in differentiation is explained with several examples. see www.analyzemath.com/calculus.html for more examples

'Video thumbnail for What is Implicit differentiation? -   derivative of a function  -  part 6'
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What is Implicit differentiation? - derivative of a functi...
What is Implicit differentiation? - derivative of a function - part 6

8K views · Feb 20, 2022 analyzemath.com

The need for implicit differentiation is explained in details with examples. see www.analyzemath.com/calculus.html for more examples

'Video thumbnail for what is logarithmic differentiation? Derivative of a Function - part 7'
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what is logarithmic differentiation? Derivative of a Functio...
what is logarithmic differentiation? Derivative of a Function - part 7

12K views · Feb 20, 2022 analyzemath.com

The method of logarithmic differentiation is explained using several examples. see www.analyzemath.com/calculus.html for more examples

'Video thumbnail for Evaluate the Indefinite Integral of a^x'
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3:11
Evaluate the Indefinite Integral of a^x
Evaluate the Indefinite Integral of a^x

15K views · Oct 22, 2022 analyzemath.com

This video discusses the steps needed to evaluate the indefinite integral of a^x with respect to x. The main idea is to use the substitution u = a^x, then take the ln of both sides to obtain ln u = x ln a. The next step is to use ln u = x ln a to obtain dx in terms of du, then integrate with respect to u. More calculus at www.analyzemath.com/calculus.html More on substitutions to evaluate integrals at https://www.analyzemath.com/calculus/Integrals/integral_substitution.html More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1

'Video thumbnail for Calculate Integral of Polynomials'
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0:52
Calculate Integral of Polynomials
Calculate Integral of Polynomials

7K views · Dec 30, 2022 analyzemath.com

This videos gives detailed steps on how to calculate the integral of a polynomial.

'Video thumbnail for Calculate the Derivative of f(x) = sin (2x^2 + x - 2) Using the Chain Rule'
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1:13
Calculate the Derivative of f(x) = sin (2x^2 + x - 2) Using ...
Calculate the Derivative of f(x) = sin (2x^2 + x - 2) Using the Chain Rule

10K views · Dec 31, 2022 analyzemath.com

This video explains how to use the chain rule of differentiation to calculate the derivative of a composite function of the form sin(u) where u is a function of x.