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  • John Rhodes
  • July 8, 2023
  • Calculus

Determining Local Extrema with the Second Derivative Test in Math

Second Derivative Test: f(x) has a local Maximum at x = c when f”(. c) is negative negative. The Second Derivative Test is a method used to...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Using the First Derivative Test to Analyze Local Minimums in Function f(x)

First Derivative Test: f(x) has a local Minimum at x=c when f'(x) To determine if a function f(x) has a local minimum at a specific point c,...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Using the First Derivative Test to Determine Local Maximum: Step-by-Step Guide

First Derivative Test: f(x) has a local Maximum at x=c when f'(x) To determine whether a function f(x) has a local maximum at x = c, we...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding Derivatives: Negative f'(x) Indicates Decreasing Function f(x)

If f'(x)
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding the Relationship Between f'(x) > 0 and an Increasing Function

If f'(x)>0, f(x) is If f'(x) > 0, it means that the derivative of the function f(x) is positive If f'(x) > 0, it means that the...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Calculating the Volume of a Cone: Step-by-Step Guide with Formula and Examples

Volume of a cone The volume of a cone is a measurement of the amount of space occupied by the cone The volume of a cone is...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Understanding tan(-θ): A Review of the Tangent Function and Equivalent Positive Angles

tan(-θ) To understand the value of tan(-θ), let’s first review the basic definition of the tangent function To understand the value of tan(-θ), let’s first review the...
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  • John Rhodes
  • July 8, 2023
  • Calculus

Exploring the Properties and Equations of Ellipses: A Comprehensive Guide

Ellipse An ellipse is a type of curve or oval shape that can be defined as a set of points in a plane An ellipse is a...
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