Mathematics | Senioritis

John Rhodes
July 8, 2023
Calculus

The Significance of a Negative Derivative: Analyzing Decreasing Functions, Turning Points, Concavity, and Rate of Change

f’ is negative When it is stated that f’ (pronounced as “f prime”) is negative, it means the derivative of the function f(x) is negative When it...

John Rhodes
July 8, 2023
Calculus

Understanding the Significance of Positive Derivatives in Math: Exploring Increasing Functions and Optimization

f’ is positive When we say that f’ (pronounced as f prime) is positive, it means that the derivative of the function f(x) with respect to x...

John Rhodes
July 8, 2023
Calculus

Understanding Horizontal Tangents in Mathematics: A Guide to Flat Slopes and Zero Derivatives

Horizontal tangent In mathematics, a horizontal tangent refers to a tangent line that is parallel to the x-axis on a graph In mathematics, a horizontal tangent refers...

John Rhodes
July 8, 2023
Calculus

Understanding Vertical Tangents in Calculus: Exploring Points on a Curve with Undefined Slope

Vertical tangent A vertical tangent is a term used in calculus to describe a point on a curve where its slope (or derivative) is undefined, resulting in...

John Rhodes
July 8, 2023
Calculus

Determining Horizontal Asymptotes in Math: Step-by-Step Guide for Rational Functions and Illustrative Example

Look for horizontal asymptotes To find horizontal asymptotes, there are a few key steps you can follow: 1 To find horizontal asymptotes, there are a few key...

John Rhodes
July 8, 2023
Calculus

Understanding the Limit Definition of Derivative in Calculus: Explained and Illustrated

Alternate definition of derivative at x=a In Calculus, the derivative of a function at a specific point is typically defined as the slope of the line tangent...

John Rhodes
July 8, 2023
Calculus

A Comprehensive Guide to Finding the Formal Derivative of a Function at a Specific Point

Formal derivative form at x=a To find the formal derivative of a function at a specific point, x=a, we need to apply certain rules and formulas To...

John Rhodes
July 8, 2023
Geometry

The Importance of Understanding Right Angles in Geometry, Trigonometry, Architecture, and Engineering

right angle A right angle is a type of angle that measures exactly 90 degrees A right angle is a type of angle that measures exactly 90...