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Implicit Differentiation

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Implicit differentiation is the procedure of differentiating an implicit equation (one which has not been explicitly solved for one of the variables) with respect to the desired variable, treating other variables as unspecified functions of it.

Implicit differentiation is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.

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