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AP Calculus AB Fun 4 A Justify Conclusions About the Behavior of a Function Based on the Behavior of Its Derivatives Topic 5 7 Questions

Practise second-derivative-test questions by evaluating curvature at critical points and classifying local maxima or minima.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • evaluate the second derivative at a critical point
  • use concavity to classify a local maximum or minimum

AP Calculus AB Fun 4 A Justify Conclusions About the Behavior of a Function Based on the Behavior of Its Derivatives Topic 5 7 Questions question 1

Given the following differential equation tart fraction numerator d y over denominator d x end fraction equals x minus 2 y plus 1

The function y=f(x) is the solution to the differential equation with initial condition f(-1)=0. Determine whether f has a local maximum, local minimum, or neither at x=-1. Justify your answer.

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