John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Learn How To Convert Degrees To Radians Using A Simple Formula

f(x) is increasing -> f'(x) is positive If f(x) is increasing, it means that as x increases, so does the value of f(x). Therefore, the derivative (f'(x))...

John Rhodes
June 21, 2023
Calculus

How To Determine If A Function Is Increasing Using Its Derivative: The Concept And Mathematical Expression

f(x) is decreasing -> f'(x) is negative If f(x) is a continuous function, then we can tell whether it is increasing or decreasing by examining the sign...

John Rhodes
June 21, 2023
Calculus

How To Determine Whether A Function Is Increasing Or Decreasing Using Its Derivative – Math Guide

critical points f'(x) is either zero or undefined Critical points are points on a graph where the derivative, or slope of the curve, is either zero or...

John Rhodes
June 21, 2023
Calculus

Critical Points In Math: Explained With Examples

f'(x) changes from positive to negative f(x) has a relative maximum When f'(x) changes from positive to negative, it indicates that the slope or the rate of...

John Rhodes
June 21, 2023
Calculus

Relative Maximums And The Relationship To The Slope Of A Function: A Math Explanation

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

John Rhodes
June 21, 2023
Calculus

How F'(X) Influences Function Growth: Exploring Derivatives And Their Significance

f”(x) is positive f'(x) is increasing and f(x) is concave up U If the second derivative f”(x) of a function f(x) is positive, it means that the...

John Rhodes
June 21, 2023
Calculus

The Positive Second Derivative And Its Graphical Interpretation For U-Shaped Functions

f”(x) is negative f(x) is concave down & f'(x) is decreasing When we say that f”(x) is negative, we are indicating that the second derivative of the...

John Rhodes
June 21, 2023
Calculus

Concavity And The Second Derivative For Function F(X)

f”(x)=0 and changes sign f'(x) has extrema and f(x) has an inflection point If f”(x)=0 and changes sign, then it means that the second derivative of the...