John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

The Basics: Evaluating X^N With Positive, Negative, And Fractional Exponents.

x^n nx^n-1 The expression x^n represents x raised to the power of n. This means that x is multiplied by itself n number of times. For example,...

John Rhodes
June 21, 2023
Calculus

Simplify Math Equations With Natural Logarithm Function: The Ln(X) Expression And Applications In Calculus, Probability And Statistics.

lnx 1/x The expression lnx can be simplified as the natural logarithm of the variable x. The natural logarithm is a function that takes the logarithm of...

John Rhodes
June 21, 2023
Calculus

How To Apply The Quotient Rule In Calculus: A Step-By-Step Guide

quotient rule g(x)f'(x)-f(x)g'(x)/g(x)^2 Quotient rule is a formula used in calculus to find the derivative of the quotient of two functions, which represents the rate at which...

John Rhodes
June 21, 2023
Calculus

Master The Product Rule For Derivatives In Calculus – A Comprehensive Guide

Product Rule uv’ + vu’ The product rule is a rule for finding the derivative of the product of two functions. It states that the derivative of...

John Rhodes
June 21, 2023
Calculus

Mastering The Chain Rule In Calculus: How To Find Derivatives Of Composite Functions

chain rule f'(g(x))g'(x) The chain rule is a formula used in calculus to find the derivative of a composite function. A composite function is a function that...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Tan(X) Using The Quotient Rule

derivative of tan(x) sec^2(x) The derivative of tan(x) can be found using the quotient rule, since tan(x) can be written as sin(x)/cos(x): f(x) = sin(x) g(x) =...

John Rhodes
June 21, 2023
Calculus

Proving The Derivative Of Sin(X) With Definition | Cos(X) Formula

derivative of sin(x) cos(x) The derivative of sin(x) is cos(x). We can prove this by using the definition of the derivative: f'(x) = lim Δx→0 [f(x+Δx) –...

John Rhodes
June 21, 2023
Calculus

Mastering The Quotient Rule: A Simple Guide To Finding The Derivative Of Tan(X) With Ease

derivative of tan(x) sec^2(x) The derivative of tan(x) can be calculated using the quotient rule of differentiation. The quotient rule states that the derivative of a function...