John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 25, 2023
Calculus

How to Find the Derivative of sin(x) Using the Chain Rule

d/dx(sinx) cosx To find the derivative of sin(x) with respect to x, we can use the chain rule of differentiation. The chain rule states that if we...

John Rhodes
July 25, 2023
Calculus

Understanding the Basic Derivative: Exploring the Rate of Change in Mathematical Functions

Basic Derivative f(x^n)= nX^(n-1) The basic derivative refers to the mathematical operation of finding the rate at which a function is changing at a particular point. It...

John Rhodes
July 25, 2023
Calculus

The Continuity Rule: Understanding the Fundamentals and Applications in Mathematics

Continuity Rule If the limit exists (aka left limit and right limit are equal), and the limit equals the function at that point. The continuity rule, also...

John Rhodes
July 25, 2023
Calculus

Calculating the Limit as x Approaches 0 of (1 – cosx)/x Using Trigonometric Identities

limit as x approaches 0: 1-cosx/x (1 – cosx)/x is sin(x/2) To find the limit as x approaches 0 of the expression (1 – cosx)/x, we can...

John Rhodes
July 25, 2023
Calculus

Understanding and Evaluating the Limit as x Approaches 0 of sin(x)/x in Calculus

limit as x approaches 0: sinx/x sin(x)/x is also 0 To find the limit as x approaches 0 of sin(x)/x, we can use a standard trigonometric limit...

John Rhodes
July 25, 2023
Calculus

Understanding the Alternate Definition of Derivative: Exploring Rates of Change in Mathematics

Alternate Definition of Derivative limit (as x approaches a number c)=f(x)-f(c)/x-c x≠c In mathematics, the derivative of a function represents the rate of change of that function...

John Rhodes
July 25, 2023
Calculus

Understanding the Limit Definition of a Derivative: Calculating the Rate of Change in Mathematics

Limit Definition of Derivative limit (as h approaches 0)= F(x+h)-F(x)/h The limit definition of a derivative is a fundamental concept in calculus that describes the rate of...

John Rhodes
July 25, 2023
Trigonometry

Understanding the Complementary Function to Sec(x) in Mathematics

Complementary function to sec(x) csc(x) To find the complementary function to sec(x), we can start by understanding what a complementary function is. In mathematics, the complementary function...