A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 4 years ago

If the derivative of f is given by f'(x) = e^x - 3x^2, at which of the following values of x does f have a relative maximum value? a. -0.46 b. 0.20 c. 0.91 d. 0.95 e. 3.73

  • This Question is Closed
  1. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The easiest way to solve this problem would be to graph the derivative. When the derivative equals zero, f could possibly have a local minimum or maximum at that point. Upon graphing, you'll see that f' intersects the x-axis 3 times, at \[x = -0.459, x = 0.910, x= 3.733\] At the first and third points, the derivative changes signs from negative to positive. That means that f changes from decreasing to increasing, which would mean that those are local minima. At the middle point, f' changes from positive to negative, indicating that f changes from increasing to decreasing at that point. That would mean that the local maximum is at x = 0.91. Choice C.

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.