John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Calculus: Calculating Average Rate Of Change In Functions

Average Rate of Change Slope of secant line between two points, use to estimate instantanous rate of change at a point. The average rate of change is...

John Rhodes
June 21, 2023
Calculus

The Importance Of The Instantaneous Rate Of Change (Irc) In Calculus And Its Applications In Real-World Phenomena

Instantenous Rate of Change Slope of tangent line at a point, value of derivative at a point The instantaneous rate of change (IRC) at a specific point...

John Rhodes
June 21, 2023
Calculus

Master The Concept Of Derivatives: The Rate Of Change In Calculus

Formal definition of derivative limit as h approaches 0 of [f(a+h)-f(a)]/h The derivative of a function is a mathematical concept that represents the rate of change of...

John Rhodes
June 21, 2023
Calculus

Derivatives: Instantaneous Rate Of Change And Its Practical Applications In Calculus

Alternate definition of derivative limit as x approaches a of [f(x)-f(a)]/(x-a) One alternate definition of derivative is that it represents the instantaneous rate of change of a...

John Rhodes
June 21, 2023
Calculus

Math: Positive F'(X) Indicates Function’S Increase – Examples Inclusive

When f ‘(x) is positive, f(x) is increasing When f'(x) is positive, it means that the function f(x) is increasing. This means that as we move along...

John Rhodes
June 21, 2023
Calculus

Negative Slope: How F'(X) Indicates A Decreasing Function

When f ‘(x) is negative, f(x) is decreasing When f'(x) is negative, it means that the function f(x) is decreasing. This means that the slope of the...

John Rhodes
June 21, 2023
Calculus

Local Minimum In Math: How F'(X) Changes From Negative To Positive To Indicate Small Intervals Of Function Growth

When f ‘(x) changes from negative to positive, f(x) has a relative minimum local minimum at x. When the first derivative, f'(x), changes sign from negative to...

John Rhodes
June 21, 2023
Calculus

Local Maximum In Calculus: Identifying Points When A Function Reaches Its Peak

When f ‘(x) changes fro positive to negative, f(x) has a relative maximum local maximum at that point. When a function’s derivative changes from positive to negative...