John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 31, 2023
Geometry

Understanding Altitude in Triangles | Exploring Definition, Calculation, and Methods

altitude of a triangle The altitude of a triangle is a line segment that extends from a vertex of the triangle perpendicular to the opposite side or...

John Rhodes
July 31, 2023
Geometry

The Centroid of a Triangle | Properties and How to Find It

centroid of a triangle The centroid of a triangle is the point of intersection of its medians The centroid of a triangle is the point of intersection...

John Rhodes
July 31, 2023
Calculus

Understanding the Instantaneous Rate of Change at x=a in Mathematics

Instantaneous Rate of Change at x=a The instantaneous rate of change at x=a refers to the rate at which a function’s value is changing with respect to...

John Rhodes
July 31, 2023
Calculus

Understanding the Relationship Between Increasing Functions and Positive Derivatives in Mathematics

If f(x) is increasing, then f'(x) is? If f(x) is increasing, it means that as x increases, the corresponding values of f(x) also increase If f(x) is...

John Rhodes
July 31, 2023
Calculus

Understanding Decreasing Functions and their Derivatives | Exploring the Negative Slope and Rate of Change

If f(x) is decreasing, then f'(x) is? If a function f(x) is decreasing, it means that as x increases, the corresponding values of f(x) are getting smaller...

John Rhodes
July 31, 2023
Calculus

Understanding Concave Up Functions | The Role of Positive Second Derivatives in Calculus

If f(x) is concave up, then f”(x) is? If a function f(x) is concave up, it means that its graph curves upwards, resembling a “U” shape If...

John Rhodes
July 31, 2023
Calculus

Understanding Concave Down Functions | Exploring the Relation Between f(x) and f”(x)

If f(x) is concave down, then f”(x) is? If f(x) is concave down, then f”(x) is negative or less than zero If f(x) is concave down, then...

John Rhodes
July 31, 2023
Calculus

Understanding the Relationship Between Increasing Derivatives and Concavity in Math

If f'(x) is increasing, then f”(x) is? If the derivative, f'(x), is increasing, it means that as x increases, the rate of change of the function f(x)...