John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 30, 2023
Calculus

Understanding the Derivative | Definition, Concept, and Calculation

Formal definition of derivative The formal definition of the derivative of a function f at a point a is given by: f'(a) = lim(h->0) [(f(a+h) – f(a))...

John Rhodes
July 30, 2023
Calculus

The Limit Definition of Derivative | Calculating the Rate of Change with Precision

Alternate definition of derivative The alternate definition of derivative is known as the limit definition of derivative The alternate definition of derivative is known as the limit...

John Rhodes
July 30, 2023
Calculus

Understanding the Significance of a Positive Derivative in Functions | Implications and Examples

When f ‘(x) is positive, f(x) is When f ‘(x) is positive, it means that the derivative of the function f(x) with respect to x is positive...

John Rhodes
July 30, 2023
Calculus

Understanding the Significance of a Negative Derivative | Implications for Function Decrease and Slope

When f ‘(x) is negative, f(x) is When f ‘(x) is negative, it means that the derivative of the function f(x) is negative When f ‘(x) is...

John Rhodes
July 30, 2023
Calculus

Understanding the Significance of Changing from a Negative to Positive Derivative in Math | A Visual Perspective

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

John Rhodes
July 30, 2023
Calculus

Understanding Local Maximums and Their Relationship to Derivatives | Math Explanation

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

John Rhodes
July 30, 2023
Calculus

Understanding the Relationship Between the Derivative and the Rate of Change in Mathematics

When f ‘(x) is increasing, f(x) is When the derivative, f ‘(x), of a function, f(x), is increasing, it implies that the slope of the function is...

John Rhodes
July 30, 2023
Algebra

Exploring the Mathematical Relationship of Y and bx in the Equation Y = f(bx)

Y=f(bx) where 0