John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 29, 2023
Calculus

Why is the Derivative of a Constant Zero? Explained and Illustrated

d/dx [c]= The expression d/dx [c] represents the derivative of a constant value “c” with respect to the variable “x The expression d/dx [c] represents the derivative...

John Rhodes
July 29, 2023
Calculus

The Relationship Between Changes in f'(x) and the Behavior of f(x) | Exploring Local Maximums

When f ‘(x) changes from positive to negative, f(x) has a When f'(x) changes from positive to negative, it indicates that the slope of the function f(x)...

John Rhodes
July 29, 2023
Calculus

Understanding the Significance of f'(x) Changing from Negative to Positive | Exploring the Behavior and Properties of Mathematical Functions

When f ‘(x) changes from negative to positive, f(x) has a When f ‘(x) changes from negative to positive, it means that the derivative of the function...

John Rhodes
July 29, 2023
Calculus

Understanding the Trend of a Function | Decreasing Behavior and Negative Derivatives

When f ‘(x) is negative, f(x) is When the derivative of a function, denoted as f ‘(x), is negative, it indicates that the function f(x) is decreasing...

John Rhodes
July 29, 2023
Calculus

Understanding Positive Derivatives | When a Function’s Derivative is Positive, It Means the Function is Increasing

When f ‘(x) is positive, f(x) is When the derivative of a function f'(x) is positive, it means that the function f(x) is increasing When the derivative...

John Rhodes
July 29, 2023
Calculus

Understanding Derivatives | Definition, Geometric Interpretation, Analytic Definition, Increment Definition, and Differential Definition

Alternate definition of derivative The derivative of a function is a fundamental concept in calculus The derivative of a function is a fundamental concept in calculus. It...

John Rhodes
July 29, 2023
Calculus

Understanding the Formal Definition of Derivative in Mathematics

Formal definition of derivative The formal definition of the derivative of a function can be expressed as follows: Let f(x) be a function defined on an interval...

John Rhodes
July 29, 2023
Calculus

Understanding Instantaneous Rate of Change | Calculating and Interpreting Derivatives

Instantenous Rate of Change The instantaneous rate of change refers to the rate at which a quantity is changing at a specific point or instant in time...