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Critical Point

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A critical point is a point in the graph of a function where the derivative is either zero or undefined.

Critical point is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic.

Examples

Maximum: The maximum of a set, function, etc. is the largest value attained by that object.
Minimum: The minimum of a set, function, etc. is the smallest value attained by that object.

Prerequisites

Derivative: A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.

Classroom Articles on Calculus I (Up to College Level)

  • Calculus
    		•
  • Indefinite Integral
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  • Chain Rule
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  • Inflection Point
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  • Continuous Function
    		•
  • Integral
    		•
  • Definite Integral
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  • Intermediate Value Theorem
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  • Discontinuity
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  • Limit
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  • Extreme Value Theorem
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  • Mean-Value Theorem
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  • First Derivative Test
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  • Newton's Method
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  • Fundamental Theorems of Calculus
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  • Riemann Sum
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  • Implicit Differentiation
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  • Second Derivative Test
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