Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering The Concept Of Relative/Local Maximum In Mathematics: A Comprehensive Guide

relative/local maximum -at c if f(c) is greater than or equal to f(x) for all x in a neighborhood of c A relative/local maximum is a point...

John Rhodes
June 21, 2023
Calculus

Relative Minimum In Calculus With First And Second Derivative Test

relative/local minimum -at c if f(c) is less than or equal to f(x) for all x in a neighborhood of c A relative (or local) minimum is...

John Rhodes
June 21, 2023
Calculus

Maximizing The Function F(X) = X^3 – 3X^2 + 2X: Finding The Absolute Maximum On [-1, 3]

absolute/global maximum -at c if f(c) is greater than or equal to f(x) for all x in the domain of f-on a given interval, it may be...

John Rhodes
June 21, 2023
Calculus

Discover The Absolute Minimum Of A Function: A Step-By-Step Guide With Examples

absolute/global minimum -at c if f(c) is less than or equal to f(x) for all x in the domain of f-on a given interval, it may be...

John Rhodes
June 21, 2023
Calculus

Maximize Function Values With The Closed Interval Method: A Guide To Find Absolute Extrema On Closed Intervals

closed interval method (for finding absolute extrema on [a,b] 1. evaluate f at each critical point2. evaluate the endpoints, f(a) and f(b)3. the largest value is the...

John Rhodes
June 21, 2023
Calculus

Master The Art Of Calculus: How To Identify Extremums With First And Second Derivatives

for extrema, you plug the critical points back into f(x), but to find out if it is increasing or decreasing, you plug the critical points into f'(x)...

John Rhodes
June 21, 2023
Calculus

Master The First Derivative Test: How To Identify Extrema Points Of A Function

first derivative test states that if c is a critical point of f, and f is continuous and differentiable on an open interval containing c (except possible...

John Rhodes
June 21, 2023
Calculus

Unlocking The Mysteries Of The Square Root Function: Properties And Applications

Square Root Function f(x) = √x The square root function is a mathematical function that takes a non-negative real number as input and returns its square root...