John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 6, 2023
Calculus

Understanding the Chain Rule: Finding the Derivative of cos x with Respect to x

derivative of cos x The derivative of cos x can be found using the basic rules of differentiation The derivative of cos x can be found using...

John Rhodes
July 6, 2023
Calculus

The Derivative of the Sine Function: A Step-by-Step Guide to Calculating and Understanding the Derivative of sin(x)

derivative of sin x The derivative of the sine function, denoted as `sin(x)`, can be calculated using the rules of differentiation The derivative of the sine function,...

John Rhodes
July 6, 2023
Trigonometry

The Half-Angle Identity for the Tangent Function: Explained and Derived

Half Angle Identity: tan(x/2) The half-angle identity for the tangent function states that: tan(x/2) = ±√((1 – cos x) / (1 + cos x)) where x is...

John Rhodes
July 6, 2023
Trigonometry

Simplifying the Expression tan(2x) Using the Double-Angle Formula for Tangent

tan(2x)= The expression “tan(2x)” represents the tangent function of the double angle “2x” The expression “tan(2x)” represents the tangent function of the double angle “2x”. To simplify...

John Rhodes
July 6, 2023
Trigonometry

Simplifying the Equation cos(2x) using the Double Angle Identity for Cosine

cos(2x)= The equation cos(2x) can be simplified using the double angle identity for cosine which states that cos(2x) = cos^2(x) – sin^2(x) The equation cos(2x) can be...

John Rhodes
July 6, 2023
Trigonometry

Understanding the Double-Angle Identity for Sine: Simplifying sin(2x) using the double-angle identity

sin(2x)= The expression sin(2x) represents the sine of two times angle x The expression sin(2x) represents the sine of two times angle x. To find an exact...

John Rhodes
July 6, 2023
Calculus

How to Graph Exponential Functions: Understanding the Behavior and Step-by-Step Guidelines

Exponential Function Graph An exponential function is a function of the form f(x) = a * b^x, where a and b are constants, and x represents the...

John Rhodes
July 6, 2023
Calculus

Graphing the Absolute Value Function: Step-by-Step Guide with Examples

Absolute Value Function Graph The absolute value function is a piecewise function that can be defined as follows: – For x ≥ 0, f(x) = x –...