Math  /  Calculus

Question29 Mark for Review Auto saved at: 21 :40:44
The first derivative of the function hh is given by h(x)=x53x2+xh^{\prime}(x)=x^{5}-3 x^{2}+x. What are all intervals on which the graph of hh is concave down? (A) (,0)(-\infty, 0) and (0.338,1.307)(0.338,1.307) (B) (,0.669)(-\infty, 0.669) (C) (,0.167)(-\infty, 0.167) and (1,)(1, \infty) (D) (0.167,1)(0.167,1)

Studdy Solution
Compare the intervals where h(x)<0 h''(x) < 0 with the given options:
- Concave down intervals: (,0.167) (-\infty, 0.167) and (1,) (1, \infty) .
Option (C) matches these intervals.
The correct answer is C \boxed{C} .

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord