Calculus
Video thumbnail for 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
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
What is the derivative of a function in math? - Derivative of a function - Part 1

11K 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
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
Find the derivative of power of x (x^n) using the definition - derivative of a function - part 3

19K 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
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
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
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
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
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 obtai

Video thumbnail for 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
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.