John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 31, 2023
Calculus

Mastering L’Hôpital’s Rule | A Step-by-Step Guide to Evaluating Limits of Ratios

Lim x approaches a (f(x)/g(x)=lim x approaches a (f'(x)/g'(x) This is known as L’Hôpital’s rule, which provides a method to evaluate the limit of a ratio of...

John Rhodes
July 31, 2023
Calculus

Understanding Increasing and Decreasing Behavior of a Function | A Step-by-Step Guide

Looking at a graph of f(x)… how do you know where F(x) is increasing/decreasing? To determine where the function F(x) is increasing or decreasing, you need to...

John Rhodes
July 31, 2023
Calculus

Determining Local Maxima and Minima | First and Second Derivative Test Explained

Looking at a graph of f(x)… how do you know where F(x) has a local max or min? To determine where a function f(x) has a local...

John Rhodes
July 31, 2023
Calculus

Examining Curve Concavity and Identifying Inflection Points in Math Functions

Looking at a graph of f(x)… how do you know where F(x) has an inflection point? To identify the inflection point(s) of a function f(x) by looking...

John Rhodes
July 31, 2023
Calculus

Understanding Acceleration | The Derivative of Velocity and its Antiderivative

Acceleration is the antiderivative of… Acceleration is the derivative of velocity Acceleration is the derivative of velocity. In calculus, the derivative represents the rate of change of...

John Rhodes
July 31, 2023
Calculus

Understanding Polynomials | Definition, Degree, and Applications

Polynomial A polynomial is a mathematical expression made up of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations A polynomial is a mathematical expression...

John Rhodes
July 31, 2023
Calculus

Understanding Odd Multiplicity in Polynomial Functions and Its Significance in Graphs

odd multiplicity Odd multiplicity refers to the number of times a root or zero of a polynomial appears in its factored form, where the exponent is an...

John Rhodes
July 31, 2023
Calculus

Understanding Even Multiplicity in Polynomial Functions | Exploring the Geometric Behavior of Polynomial Graphs

even multiplicity In mathematics, the term “even multiplicity” refers to the property of a root or factor occurring an even number of times in a polynomial function...