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AP Calculus AB 2.10 Derivatives of Reciprocal Trigonometric Functions Question Bank

Practise derivative questions involving tangent, cotangent, secant and cosecant by using reciprocal and quotient relationships.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • differentiate reciprocal trigonometric functions using equivalent forms
  • simplify signs and factors in tangent, cotangent, secant and cosecant derivatives

FUN-3.B—Calculate derivatives of products and quotients of differentiable functions—Topic 2.10 question 1

[Maximum number: 1]

If f(x)=secxtanxf(x)=\sec x \tan x, then f(x)=f^{\prime}(x)=

A

sec3x+secxtan2x\sec ^{3} x+\sec x \tan ^{2} x

B

2sec2xtanx2 \sec ^{2} x \tan x

C

sec3xtanx\sec ^{3} x \tan x

D

secx\sec x

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