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AP Calculus AB 3.6 Higher-Order Derivatives Question Bank

Practise higher-order derivative questions by differentiating repeatedly and interpreting second-derivative information.

Exam points

differentiate repeatedly to obtain second and higher-order derivatives
evaluate higher-order derivatives and interpret their meaning

[Maximum number: 1]

If $y=x^{2} \ln x$ for x>0, then $y^{\prime \prime}$ is equal to

A

$3+\ln x$

B

$3+2 \ln x$

C

$3+3 \ln x$

D

$2+x+\ln x$

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