AP Calculus BC 2.8: Products & Quotients

Practise AP Calculus BC 2.8 by applying the product rule to symbolic functions and using graph values and slopes to evaluate a product derivative at a point.

Exam points

Differentiate products such as x²√(x+1) or xeˣ, then evaluate the derivative at a given input.
Read f, g, f′ and g′ from graphs, then apply the product rule to determine p′ at a point.

[Maximum number: 1]

The slope of the line tangent to the graph of $y=x e^{x}$ at $x=\ln 2$ is

$2 \ln 2$

$2 \ln 2+2$

$e^{2}(\ln 2)+e^{2}$

$2+\frac{2 \ln 2}{e}$

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