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

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

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

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

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

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

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