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AP Calculus AB Fun 3 F Determine Higher Order Derivatives of a Function Questions

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

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

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

AP Calculus AB Fun 3 F Determine Higher Order Derivatives of a Function Questions question 1

[Maximum number: 1]

If y=x2ln⁡xy=x^{2} \ln x for x>0, then y′′y^{\prime \prime} is equal to

A

3+ln⁡x3+\ln x

B

3+2ln⁡x3+2 \ln x

C

3+3ln⁡x3+3 \ln x

D

2+x+ln⁡x2+x+\ln x

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