Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

The Power of Derivatives: Calculating the Derivative of Logarithmic Functions With the Chain Rule

Derivative of Logarithmic Function f'(x) = 1/x The logarithmic function is a widely used mathematical function in many fields, including mathematics, physics, engineering, and finance, which is...

John Rhodes
June 21, 2023
Calculus

Understanding the function f(x) = sin^-1 x: Properties, Applications, and Graphical Representation.

f(x) = sin^-1 x f'(x) = 1/√(1-x^2) The function f(x) = sin^-1 x is the inverse function of the sine function with a restricted domain. Its domain...

John Rhodes
June 21, 2023
Calculus

Mastering the Inverse Trigonometric Function f(x) = cos^-1(x)

f(x) = cos^-1 x f'(x) = -1/√(1 – x^2) The function f(x) = cos^-1(x), where x is a value between -1 and 1, is the inverse of...

John Rhodes
June 21, 2023
Calculus

Understanding Inverse Functions: Properties and Notation Explained

Two functions f and g are inverses if they satisfy: f(g(x)) = x and g(f(x)) = x If two functions f and g are inverses, then the...

John Rhodes
June 21, 2023
Calculus

Understanding Inverse Functions: Domain and Range Relationships in Mathematics

Domain and range of inverse functions Domain of f = Range of f^-1;Range of f = Domain of f^-1 In mathematics, the inverse function is a function...

John Rhodes
June 21, 2023
Calculus

Understanding Inverse Functions in Math: Not All Functions are Invertible.

Does every function have an inverse function? NO No, not every function has an inverse function. A function has an inverse if and only if each output...

John Rhodes
June 21, 2023
Calculus

Understanding the Importance and Properties of Invertible Matrices in Linear Algebra

One to one (or invertible) x and y values are not repeated (passes the vertical and horizontal line test) In linear algebra, a matrix is said to...

John Rhodes
June 21, 2023
Calculus

Master the Vertical Line Test: The Ultimate Guide to Identifying Math Functions on Graphs

What does the vertical line test tell you? If the regular function, f, is a function or not. The vertical line test is a method used to...