Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Homework Help

Lesson: Second Derivative Test for Local Extrema

In this lesson, we will learn how to find local extrema using the second derivative test.

Worksheet: Second Derivative Test for Local Extrema • 14 Questions

Q1:

Determine the local maximum and local minimum values of .

  • Alocal maximum value 3 at , local minimum value at
  • Blocal maximum value 8 at , local minimum value 8 at
  • Clocal maximum value at , local minimum value at
  • Dlocal maximum value 8 at , local minimum value 8 at
  • Elocal maximum value at , local minimum value 3 at

Q2:

Find, if any, the point where has a local maximum or local minimum.

  • A is a local maximum point.
  • BThe function does not have local maximum or minimum points.
  • C is a local minimum point.
  • D is a local minimum point.
  • E is a local maximum point.

Q3:

Find, if any, the points where has a local maximum or local minimum.

  • A is the local maximum point, and is the local minimum point.
  • B is the local minimum point, and the function does not have a local maximum point.
  • C is the local minimum point, and is the local maximum point.
  • D is the local minimum point, and the function does not have a local maximum point.
  • E is the local maximum point, and the function does not have a local minimum point.
Preview

Related Lessons

Related Worksheets