John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Find The Absolute Maximum Value Of A Function: A Step-By-Step Guide With Example

Absolute Maximum Value Let f be a function with domain D. Then f(c) is the absolute maximum value on D if and only if f(x) ≤ f(c)...

John Rhodes
June 21, 2023
Calculus

Discovering The Absolute Minimum Value Of A Function: Analytic And Graphical Methods Explained

Absolute Minimum Value Let f be a function with domain D. Then f(c) is the absolute maximum value on D if and only if f(x) ≥ f(c)...

John Rhodes
June 21, 2023
Calculus

Exploring Calculus: Antiderivatives And Their Applications

Antiderivative A function F(x) is an antiderivative of a function f(x) if F'(x) = f(x) for all x in the domain of f. The process of finding...

John Rhodes
June 21, 2023
Calculus

Mastering Arithmetic Mean: The Basics And Importance Of Calculating Averages In Statistical Analysis

Arithmetic Mean The arithmetic mean of two numbers a and b is (a+b)/2. Arithmetic mean is a measure of central tendency which represents the average of a...

John Rhodes
June 21, 2023
Calculus

Optimizing Your Math Knowledge: The Concavity Test For Graph Curvature.

Concavity Test The graph of a twice-differentiable function y = f(x) is:(a) concave up on any interval where y > 0(b) concave down on any interval where...

John Rhodes
June 21, 2023
Calculus

Decreasing Functions: Definition And Examples In Mathematics

Decreasing Function Let f be a function defined on an interval I and let x₁ and x₂ be any two points in I. F decreases on I...

John Rhodes
June 21, 2023
Calculus

Master The Basics Of Differential Calculus: Derivatives And Their Applications

Differential If y = f(x) is a differentiable function, the differential dx is an independent variable and the differential dy is dy = f'(x) dx. Differential generally...

John Rhodes
June 21, 2023
Calculus

Mastering The Extreme Value Theorem: Guaranteeing Maximum And Minimum Values Of Continuous Functions

Extreme Value Theorem If f is continuous on a closed interval [a,b], then f has both a maximum value and a minimum value on the interval. The...