Calculus | Senioritis

John Rhodes
July 29, 2023
Calculus

Understanding Decreasing Functions and their Derivatives in Calculus | Explained

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

John Rhodes
July 29, 2023
Calculus

Understanding the Relationship Between Increasing Functions and Positive Derivatives | Exploring the Steeper Slope as x Increases in Math

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

John Rhodes
July 29, 2023
Calculus

Calculating the Instantaneous Rate of Change | A Step-by-Step Guide

Instantaneous Rate of Change at x=a The instantaneous rate of change at x=a represents the rate at which a function is changing at a specific point, represented...

John Rhodes
July 29, 2023
Calculus

How to Calculate the Average Rate of Change of a Function on an Interval [a, b]

Average Rate of Change of f(x) on [a,b] The average rate of change of a function f(x) on the interval [a, b] is a measure of how...

John Rhodes
July 29, 2023
Calculus

Understanding the Chain Rule | Simplifying the Process of Finding Derivatives with Composite Functions

Chain Rule (Using ‘ ) The chain rule is a fundamental rule in calculus that enables us to find the derivative of a composite function The chain...

John Rhodes
July 29, 2023
Calculus

Understanding the Reciprocal Rule | A Simplified Explanation for Division of Fractions

Reciprocal Rule The reciprocal rule, also known as the reciprocal property, is a mathematical principle that applies to fractions The reciprocal rule, also known as the reciprocal...

John Rhodes
July 29, 2023
Calculus

The Difference Rule | How to Find the Derivative of a Function by Subtracting Two Functions

Difference Rule The difference rule is a fundamental rule in calculus that allows us to find the derivative of a function that is formed by subtracting two...

John Rhodes
July 29, 2023
Calculus

Exploring Vertical Tangents in Math | Definition, Characteristics, and Graphical Representation

What does a Vertical Tangent look like? A vertical tangent occurs when the slope of a curve or function becomes infinitely steep at a certain point A...