AP Calculus AB Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Topic 2 10 Questions

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

Syllabus
Effective Fall 2020
Course
AP Calculus AB

Exam points

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

AP Calculus AB Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Topic 2 10 Questions question 1

[Maximum number: 1]

If f(x)=sec⁡xtan⁡xf(x)=\sec x \tan x, then f′(x)=f^{\prime}(x)=

A

sec⁡3x+sec⁡xtan⁡2x\sec ^{3} x+\sec x \tan ^{2} x

B

2sec⁡2xtan⁡x2 \sec ^{2} x \tan x

C

sec⁡3xtan⁡x\sec ^{3} x \tan x

D

sec⁡x\sec x

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