AP Calculus AB Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Topic 2 9 Questions

Practise quotient-rule questions by identifying numerator and denominator functions, differentiating them and simplifying the result.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • identify numerator and denominator functions in a quotient
  • apply the quotient rule and simplify the derivative

AP Calculus AB Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Topic 2 9 Questions question 1

[Maximum number: 1]

If equals start fraction numerator x minus 3 over denominator 2 minus 5 x end fraction, then tart fraction numerator d y over denominator d x end fraction equals

A

t{ }^{\mathrm{t}} fraction numerator 17 minus 10 x over denominator left parenthesis 2 minus 5 x right parenthesis squared end fraction

B

{ }^{\text {t }} fraction numerator 13 over denominator left parenthesis 2 minus 5 x right parenthesis squared end fraction

C

traction numerator negative 13 over denominator left parenthesis 2 minus 5 × right parenthesis squared end fraction

D

traction numerator 17 over denominator left parenthesis 2 minus 5 x right parenthesis squared end fraction

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