A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
The derivative of f(x)=(x^4/3)(x^5/5) attains its maximum value at what x value?
a. 1
b. 0
c. 1
d. 4/3
e. 5/3
 2 years ago
The derivative of f(x)=(x^4/3)(x^5/5) attains its maximum value at what x value? a. 1 b. 0 c. 1 d. 4/3 e. 5/3

This Question is Closed

jesusisabiscuit
 2 years ago
Best ResponseYou've already chosen the best response.0can you explain it to me, please?

jesusisabiscuit
 2 years ago
Best ResponseYou've already chosen the best response.0f''(x) = 4x^2  3x^3 what next?

wio
 2 years ago
Best ResponseYou've already chosen the best response.2Ummm, looks like your \(f''(x)\) is a bit off.

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.0The condition To attain Max is f''(x) > 0

wio
 2 years ago
Best ResponseYou've already chosen the best response.2They want the max of the derivative.

wio
 2 years ago
Best ResponseYou've already chosen the best response.2So you want to find the critical numbers \(f''(x)=0\) or undefined. Then you'd plug them back into \(f'(x)\) to see where the max is.

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.0nope @wio they ask..For where the max is attained

wio
 2 years ago
Best ResponseYou've already chosen the best response.2"The derivative of f(x)=(x^4/3)(x^5/5) attains its maximum" "f'(x) attains its maximum"

jesusisabiscuit
 2 years ago
Best ResponseYou've already chosen the best response.0aha! f"(x) = 4x^2  4x^3. i got my critical numbers. x = 0 & x = 1?

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.1That looks good. So your local maximum value is at either x=0 or x=1. Also, since your first derivative is a negative quartic (has a \(x^4\) term), you have a parabola type shape opening downwards, so the local maximum is the global maximum. Now you just need to determine which one is the maximum.

jesusisabiscuit
 2 years ago
Best ResponseYou've already chosen the best response.0i think. i got f'(0) = 0 and f'(1) = 1/3. so the answer is... 1?

jesusisabiscuit
 2 years ago
Best ResponseYou've already chosen the best response.0All riiiiiiiiight. thank you. and wio. but s/he left.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
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...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 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.