Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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
 one year ago
 one year 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
 one year ago
 one year ago

This Question is Closed

jesusisabiscuitBest ResponseYou've already chosen the best response.0
can you explain it to me, please?
 one year ago

jesusisabiscuitBest ResponseYou've already chosen the best response.0
f''(x) = 4x^2  3x^3 what next?
 one year ago

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

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

wioBest ResponseYou've already chosen the best response.2
They want the max of the derivative.
 one year ago

wioBest ResponseYou've already chosen the best response.2
So 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.
 one year ago

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

wioBest 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"
 one year ago

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

KingGeorgeBest ResponseYou've already chosen the best response.1
That 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.
 one year ago

jesusisabiscuitBest ResponseYou've already chosen the best response.0
i think. i got f'(0) = 0 and f'(1) = 1/3. so the answer is... 1?
 one year ago

jesusisabiscuitBest ResponseYou've already chosen the best response.0
All riiiiiiiiight. thank you. and wio. but s/he left.
 one year ago
See more questions >>>
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.