John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Understanding the Secant Function: Definition, Properties, and Evaluation

secx : sec(x)tan(x) The function `sec(x)` is the reciprocal of `cos(x)`. It is defined as: `sec(x) = 1/cos(x)` Here, `x` represents the input angle in radians. The...

John Rhodes
June 21, 2023
Trigonometry

Cosecant Function: Definition, Formula, Graph and Properties Explained

csc(x) : -csc(x)cot(x) csc(x) is a trigonometric function, also known as the cosecant function. It is defined as the reciprocal of the sine function and is given...

John Rhodes
June 21, 2023
Calculus

Mastering the Chain Rule: A Calculus Guide to Derivatives of Composite Functions

Chain Rule f(g(x)) = f'(g(x)) g'(x) The chain rule is a calculus rule used to find the derivative of a composite function. A composite function is a...

John Rhodes
June 21, 2023
Calculus

Understanding Higher Order Derivatives in Mathematics and Their Practical Applications

Higher Order Derivatives y = sin +1 = cos +2 = -sin +3 = -cos+4 = sind ^( 4(n)+ #) Higher order derivatives refer to the derivatives...

John Rhodes
June 21, 2023
Calculus

Understanding Leibniz Notation: Representing Derivatives and Differentials of Mathematical Functions.

Leibniz Notation dy/dx =dy/du*du/dx Leibniz notation is a mathematical notation used to represent derivatives and differentials of mathematical functions. Leibniz notation is named after the German mathematician...

John Rhodes
June 21, 2023
Calculus

The Inverse Function Theorem: Understanding the Key Properties of Invertible Functions in Calculus

Inverse Function Theorem (f^-1)'(a) = 1/f'(f^-1(a)) The Inverse Function Theorem is a theorem in calculus that relates to the properties of invertible functions. The theorem is a...

John Rhodes
June 21, 2023
Calculus

Understanding Linear Equations: Exploring the Role of Coefficients in Graphing kx + C

kx + C ∫kdx The expression kx + C represents a linear equation, where x is a variable and k and C are coefficients. The k coefficient...

John Rhodes
June 21, 2023
Calculus

Learn How to Solve Indefinite Integrals: A Step-by-Step Guide with Examples

k∫f(x)dx ∫kf(x)dx The notation k∫f(x)dx represents the indefinite integral of the function f(x) multiplied by a constant k. To solve this integral, you need to find the...