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AP Calculus BC 3.3 Differentiating Inverse Functions Questions

Use reciprocal derivative relationships to find slopes of inverse functions from formulas, tables, graphs and known points.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • differentiate parametric or polar equations and interpret the result
  • apply the appropriate derivative or area integral in context

Covered syllabus points

FUN-3.E—Calculate derivatives of inverse and inverse trigonometric functions

Question 1

[Maximum number: 1]

The table above gives values of differentiable functions f and g. If H(x)=f−1(x)H(x)=f^{-1}(x), then H′(3)H^{\prime}(3) equals

A

−116-\frac{1}{16}

B

−18-\frac{1}{8}

C

12\frac{1}{2}

D

1

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