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AP Calculus AB 2.9 The Quotient Rule Questions

Review AP Calculus AB 2.9 by checking numerator and denominator derivatives, applying the quotient rule carefully, and simplifying the resulting expression.

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

Covered syllabus points

FUN-3.B—Calculate derivatives of products and quotients of differentiable functions—Topic 2.9

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

t { }^{\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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