John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Geometry

The Segment Addition Postulate: How To Find Distances And Midpoints On Line Segments In Geometry

Segment Addition Postulate If A, B, and C are collinear points and B is between A and C, the AB + BC = AC The Segment Addition...

John Rhodes
June 21, 2023
Algebra

Calculate Distances On A 2D Plane With The Distance Formula

Distance Formula Used to find the distance between two point on a coordinate plane The distance formula is used to calculate the distance between two points on...

John Rhodes
June 21, 2023
Calculus

Average Rate Of Change For Calculus: Definition And Examples

Average Rate of Change of f(x) on [a,b] f'(x) = Positive The average rate of change of a function f(x) over the interval [a,b] is given by:...

John Rhodes
June 21, 2023
Calculus

Instantaneous Rate Of Change: How To Find The Slope Of A Curve At A Specific Point With Derivatives

Instantaneous Rate of Change at x=a f'(x) = Negative The instantaneous rate of change at x=a is the slope of the curve at the point x=a. It...

John Rhodes
June 21, 2023
Calculus

The Connection Between Increasing Functions And Positive Derivatives

If f(x) is increasing, then f'(x) is? f”(x) = positive If f(x) is an increasing function, then it means that as x increases, the corresponding values of...

John Rhodes
June 21, 2023
Calculus

The Relationship Between Decreasing Functions And Derivatives – Explained By A Math Expert

If f(x) is decreasing, then f'(x) is? f”(x) = negative If f(x) is a decreasing function, it means that as the input variable x increases, the output...

John Rhodes
June 21, 2023
Calculus

Concavity In Math: Positive Second Derivative And Curved Functions

If f(x) is concave up, then f”(x) is? f”(x) = positive If f(x) is concave up, then f”(x) is positive. Concave up or convexity is a property...

John Rhodes
June 21, 2023
Calculus

Concave Down Functions: Relationship Between F(X) Graph And F”(X)

If f(x) is concave down, then f”(x) is? f”(x) = negative If f(x) is concave down, it means that the graph of f(x) is curving downward or...