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AP Calculus AB›Unit 2: Differentiation›Implicit and Inverse Differentiation

Derivatives of Inverse Functions

At corresponding points, the slope of an inverse function is the reciprocal of the original function's slope. Swap the coordinates, then flip the slope.

Corresponding pointsThe reciprocal-slope formulaInverse trig derivatives

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Unit 2: Differentiation

  • The Power Rule
  • Product and Quotient Rules
  • Chain Rule
  • Implicit Differentiation
  • Derivatives of Inverse Functions
  • Related Rates
  • Mean Value Theorem
  • Optimization
L'Hôpital's Rule

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Also called: inverse derivative, arcsin derivative, inverse trig