AP Calculus AB 2.9 Quotient Rule Question Bank

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

Exam points

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

[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

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

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

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

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

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FUN-3.B—Calculate derivatives of products and quotients of differentiable functions—Topic 2.9 question 1