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  • John Rhodes
  • June 21, 2023
  • Calculus

How to Find Critical Numbers in Calculus and Determine Maximum or Minimum Points of a Function

Critical numbers First derivative equals zero or does not exist Critical numbers are an important concept in calculus that is used to find the maximum or minimum...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Increasing Functions in Calculus: Definition, Examples and Derivative Techniques

Function is increasing First derivative greater than zero A function is said to be increasing if its output values increase as the input values increase. More formally,...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Decreasing Functions: Definition, Graph, and Applications

Function is decreasing First derivative less than zero When we say a function is decreasing, we mean that the output values of the function decrease as the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Horizontal Tangent Lines: Their Role in Calculus and Maximizing/Minimizing Functions.

Horizontal tangent line First derivative equals zero A horizontal tangent line is a straight line that is tangent to a curve at a single point and is...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Discovering Relative Maximums in a Function using the First and Second Derivative Tests

Relative Maximum f'(c)=0 function increasing left of c and decreasing right of c A relative maximum is a point on a function where the value of the...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Unlocking the Power of Factor Pairs: A Guide to Mastering Math Factorization

factor pair Two whole numbers that are multiplied to get a product A factor pair is a pair of two numbers that can be multiplied together to...
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  • John Rhodes
  • June 21, 2023
  • Algebra

How to Use Completing the Square Technique to Simplify Quadratic Equations: A Step-by-Step Guide

Completing the Square a process used to make a quadratic expression into a perfect square trinomial Completing the square is a useful mathematical technique that is used...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Uncovering Perfect Square Trinomials: A Step-by-Step Guide to Identifying and Factoring Them

perfect square trinomial a trinomial that is the result of squaring a binomial A perfect square trinomial is a mathematical expression in the form of ax^2 +...
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