John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Geometry

Understanding Intersecting Lines and their Properties in Math: Congruent Angles, Supplementary Angles, and More

Intersecting Lines lines that cross at one point Intersecting lines are two or more lines that cross or meet at a single point. When two lines intersect,...

John Rhodes
June 21, 2023
Calculus

Understanding the Limit Definition of Derivative: Instantaneous Change of a Function Explained

Limit Definition of Derivative limit (as h approaches 0)= F(x+h)-F(x)/h The limit definition of derivative is a mathematical definition used to describe the instantaneous change of a...

John Rhodes
June 21, 2023
Calculus

How to Define Derivative in Mathematics: Understanding the Concept and Applications

Alternate Definition of Derivative limit (as x approaches a number c)=f(x)-f(c)/x-c x≠c The derivative of a function at a particular point can be defined as the rate...

John Rhodes
June 21, 2023
Calculus

How to Prove the Fundamental Limit in Calculus: The Squeeze Theorem for Evaluating the Limit of (sinx/x) when x→0.

limit as x approaches 0: sinx/x 1 To evaluate this limit, we can use the following trigonometric identity: lim x→0 (sinx/x) = 1 This identity is a...

John Rhodes
June 21, 2023
Calculus

Mastering Limit Calculation: Finding the Limit of 1-CosX/X as X Approaches Zero Using L’Hospital’s Rule and Trigonometric Identities

limit as x approaches 0: 1-cosx/x 0 To find the limit as x approaches 0 of 1-cosx/x, we can use the L’Hospital’s rule or trigonometric identities. Using...

John Rhodes
June 21, 2023
Calculus

The Importance of the Continuity Rule in Calculus: Understanding the Behavior of Functions at Critical Points

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 is...

John Rhodes
June 21, 2023
Calculus

Learn How to Find Derivatives: Step-By-Step Guide with an Example Function.

Basic Derivative f(x^n)= nX^(n-1) A derivative is a mathematical concept that measures the rate at which a function changes. It is denoted by the symbol dy/dx and...

John Rhodes
June 21, 2023
Calculus

Master the Derivative of sin(x) with Respect to x | Learn to Calculate d/dx(sin(x)) = cos(x)

d/dx(sinx) cosx The derivative of sin(x) with respect to x (dx) is cos(x), which means: d/dx(sin(x)) = cos(x) We can prove this using the limit definition of...