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  • John Rhodes
  • July 29, 2023
  • Calculus

Simplifying Limits with L’Hôpital’s Rule | A Powerful Technique in Calculus

L’hospital shortcut: exponential/polynomial (infinity/number) L’Hôpital’s rule, also known as the L’Hôpital shortcut, is a powerful technique in calculus used for evaluating limits involving indeterminate forms, specifically the...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Identifying Horizontal Tangents in Calculus | A Step-by-Step Guide

Horizontal Tangent In calculus, a horizontal tangent refers to a situation where the tangent line to a curve is parallel to the x-axis In calculus, a horizontal...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding Derivatives in Calculus | Exploring the Notation f'(x) and Differentiation Rules

f'(x) The notation “f'(x)” represents the derivative of a function “f” with respect to the variable “x” The notation “f'(x)” represents the derivative of a function “f”...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding the Discontinuity of Math Functions | Common Causes and Examples

Reasons for a function to not be continuous There are several reasons why a function may not be continuous There are several reasons why a function may...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding the Point-Slope Form | How to Write the Equation of a Straight Line

point-slope form The point-slope form is a method for writing the equation of a straight line The point-slope form is a method for writing the equation of...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding Derivatives | The Key to Analyzing Functions and Their Rates of Change

Definition of derivative of function as a function The derivative of a function can be defined as a new function that describes the rate of change of...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding the Derivative | Exploring the Rate of Change and Tangent Lines in Math

Definition of derivative of function at a point. The derivative of a function at a specific point represents the rate at which the function is changing at...
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  • John Rhodes
  • July 29, 2023
  • Calculus

Understanding the Average Rate of Change on an Interval | Calculating and Analyzing the Trend of a Function

Average rate of change on an interval The average rate of change on an interval is a concept used in calculus to measure the average rate at...
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