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  • John Rhodes
  • July 25, 2023
  • Calculus

Exploring Relative Maxima: Understanding the Highest Local Values of Functions in Mathematics

Relative maximum Where first derivative = 0 & second derivative is negative In mathematics, a relative maximum refers to the highest value that a function reaches within...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding Relative Minimums in Mathematics: Definition, Identification, and Characteristics

Relative minimum Where first derivative = 0 & second derivative is positive In mathematics, a relative minimum refers to a point on the graph of a function...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding Critical Points: How to Find and Analyze Them in Mathematics

critical point A point in which the derivative is zero or undefined In mathematics, a critical point of a function refers to a point where the derivative...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding Points of Inflection: Exploring Critical Points on Curves and Functions where Concavity Changes

point of inflection the point where the graph changes concavity A point of inflection in mathematics refers to a type of critical point on a curve or...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding the Chain Rule in Calculus: A Comprehensive Guide to Calculating Derivatives of Composite Functions

chain rule f'(g(x))g'(x) The chain rule is a fundamental rule in calculus that allows us to calculate the derivative of a composite function. It is used when...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Mastering the Power Rule: Calculus Made Easy with Derivatives of Functions Raised to a Power

power rule d/dx [x^n] = The power rule is a fundamental rule in calculus that allows us to find the derivative of a function raised to a...
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  • John Rhodes
  • July 25, 2023
  • Calculus

Understanding the Quotient Rule: Using the Formula to Find Derivatives of Quotient Functions

quotient rule d/dx [f(x)/g(x)] = The quotient rule is a formula used to find the derivative of a quotient of two functions. In other words, it allows...
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  • John Rhodes
  • July 25, 2023
  • Calculus

How to Find the Derivative of the Difference Between Two Functions

derivative of the difference between two functions f'(x) – g'(x) To find the derivative of the difference between two functions, you can use the rules of differentiation....
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