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AP Calculus BC Fun 3 E Calculate Derivatives of Inverse and Inverse Trigonometric Functions Questions

Practise AP Calculus BC 3.3 by finding derivatives of inverse functions from formulas, graphs and tables, using the corresponding input and reciprocal slope.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • Calculate inverse-function tangent slopes from a formula by evaluating the reciprocal derivative
  • Read a graph or table to locate the matching input before taking the reciprocal slope

AP Calculus BC Fun 3 E Calculate Derivatives of Inverse and Inverse Trigonometric Functions Questions 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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