AP Calculus BC Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Questions

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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AP Calculus BC Fun 3 B Calculate Derivatives of Products and Quotients of Differentiable Functions Questions question 1