John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 31, 2023
Calculus

Discovering the Mean Value Theorem | Understanding the Relationship Between Instantaneous and Average Rates of Change in Calculus

What does the Mean Value Theorem guarantee? The Mean Value Theorem (MVT) is a fundamental theorem in calculus that guarantees the existence of at least one point...

John Rhodes
July 31, 2023
Calculus

How to Find Critical Values of a Function for Maximum Optimization and Insights

When do critical values of f(x) occur? Critical values of a function f(x) occur at the points where the derivative of the function is either zero or...

John Rhodes
July 31, 2023
Calculus

How to Identify Relative Maximums for a Function | Step-by-Step Guide

With Respect to f(x), when do relative maximums occur? A relative maximum occurs for a function f(x) at a specific point c if the value of f(x)...

John Rhodes
July 31, 2023
Calculus

Exploring Relative Maximums | Understanding the Role of Derivatives in Function Peaks

With respect to the derivative of f(x), when do relative maximums occur? Relative maximums of a function occur when its derivative changes from positive to negative Relative...

John Rhodes
July 31, 2023
Calculus

Determining Relative Minimums for a Function | Step-by-Step Guide

With respect to f(x), when do relative minimums occur? A relative minimum occurs for a function f(x) at a specific point (x, f(x)) when the value of...

John Rhodes
July 31, 2023
Calculus

Understanding Relative Minimums | Calculus Example and Explanation

With respect to the derivative of f(x), when do relative minimums occur? In calculus, relative minimums occur in a function f(x) at points where the derivative of...

John Rhodes
July 31, 2023
Calculus

How to Determine When a Function is Increasing | A Step-by-Step Guide

With respect to its derivative, when is f(x) increasing? A function f(x) is said to be increasing in a given interval if its derivative f'(x) is greater...

John Rhodes
July 31, 2023
Calculus

How to Determine When a Function is Decreasing | A Step-by-Step Guide

With respect to its derivative, when is f(x) decreasing? A function f(x) is decreasing in an interval if its derivative, denoted as f'(x), is negative in that...