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 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

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)=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

All question bank results loaded