Mathematics | Senioritis

John Rhodes
July 8, 2023
Calculus

Optimizing Your Math Extrema Search: A Step-by-Step Guide for Finding Maximum and Minimum Values on a Closed Interval

Guidelines for Finding Extrema on a Closed Interval (3.1) To find the extrema (maximum and minimum) on a closed interval, you can follow the guidelines below: 1...

John Rhodes
July 8, 2023
Calculus

The Importance of Theorem 3.2: Understanding Critical Numbers and Relative Extrema in Mathematics

Theorem 3.2 – Relative Extrema Occur Only at Critical Numbers (3.1) Theorem 3 Theorem 3.2 states that relative extrema of a function can only occur at critical...

John Rhodes
July 8, 2023
Calculus

Understanding Critical Numbers: An Essential Aspect of Function Analysis in Mathematics

Definition of a Critical Number (3.1) In mathematics, a critical number is a value in the domain of a function where its derivative is either zero or...

John Rhodes
July 8, 2023
Calculus

Calculus: Understanding Relative Extrema and Identifying Critical Points

Definition of Relative Extrema (3.1) In mathematics, specifically in calculus, relative extrema refer to the maximum and minimum points on a function within a specific interval In...

John Rhodes
July 8, 2023
Calculus

Understanding The Extreme Value Theorem: Exploring Maximum and Minimum Values of Continuous Functions on Closed Intervals

Theorem 3.1 – The Extreme Value Theorem (3.1) The Extreme Value Theorem is a fundamental result in calculus that guarantees the existence of both the maximum and...

John Rhodes
July 8, 2023
Calculus

Understanding Extrema in Mathematics: Absolute and Local Extrema Explained

Definition of Extrema (3.1) Extrema, in mathematics, refers to the maximum and minimum values of a function over a given interval or on a specific set Extrema,...

John Rhodes
July 8, 2023
Trigonometry

Understanding the Tangent Function: Exploring Its Definition and Application in Trigonometry and Coordinate Plane

tan 𝜃 The tangent function, usually denoted as tan 𝜃, is a trigonometric function that relates the opposite side of a right triangle to the adjacent side....

John Rhodes
July 8, 2023
Trigonometry

Understanding the Cotangent Function: Definition and Explanation

cot 𝜃 The cotangent (cot) function is a trigonometric function that relates to the tangent function The cotangent (cot) function is a trigonometric function that relates to...