Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Understanding the Tangent Function in Trigonometry: Definition, Properties, and Applications

f(x) = tan x f'(x) = sec^2 x Function notation f(x) = tan x represents the tangent function of x, where x is the input angle given...

John Rhodes
June 21, 2023
Calculus

Cotangent Function Explained: Evaluating Trigonometric ratio using Cosine and Sine Values

f(x) = cot x f'(x) = -csc^2 x The function f(x) = cot x is a trigonometric function defined as the ratio of the adjacent side to...

John Rhodes
June 21, 2023
Calculus

Exploring the Properties of the Secant Function in Trigonometry

f(x) = sec x f'(x) = sec x • tan x The function f(x) = sec x is an even function which means it has reflective symmetry...

John Rhodes
June 21, 2023
Calculus

Understanding the Cosecant Function: Periodicity, Range, Symmetry, Asymptotes, and Zeros.

f(x) = csc x f'(x) = -csc x • cot x The function f(x) = csc x represents the cosecant function, which is the reciprocal of the...

John Rhodes
June 21, 2023
Calculus

Mastering the Art of Differentiating Exponential Functions: A Comprehensive Guide

Derivative of Exponential Functions f'(x) = e^x The derivative of an exponential function is a straightforward process when you understand the basic rules of differential calculus. These...

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...