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anonymous
 3 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
anonymous
 3 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

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Ummm, looks like your \(f''(x)\) is a bit off.

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0They want the max of the derivative.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So 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.

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0"The derivative of f(x)=(x^4/3)(x^5/5) attains its maximum" "f'(x) attains its maximum"

anonymous
 3 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
 3 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.

anonymous
 3 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?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0All riiiiiiiiight. thank you. and wio. but s/he left.
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