AP Calculus BC 2.9: The Quotient Rule

Practise AP Calculus BC 2.9 questions by applying the quotient rule to rational functions, using table values, and combining it with the chain rule.

Exam points

Apply the quotient rule to rational functions and simplify the resulting derivative.
Use table values for f, g and their derivatives to evaluate a quotient derivative at a point.

[Maximum number: 1]

If $y=\frac{x^{3}}{x+2}$ , then $\frac{d y}{d x}=$

$3 x^{2}$

$\frac{-2 x^{3}-6 x^{2}}{(x+2)^{2}}$

$\frac{2 x^{3}+6 x^{2}}{(x+2)^{2}}$

$\frac{4 x^{3}+6 x^{2}}{(x+2)^{2}}$

All question bank results loaded