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can you explain it to me, please?

Hold on

find f''(x)

f''(x) = 4x^2 - 3x^3
what next?

Isn't that it

Ummm, looks like your \(f''(x)\) is a bit off.

The condition To attain Max is
f''(x) > 0

That is true

They want the max of the derivative.

"The derivative of f(x)=(x^4/3)-(x^5/5) attains its maximum"
"f'(x) attains its maximum"

aha! f"(x) = 4x^2 - 4x^3.
i got my critical numbers. x = 0 & x = 1?

make sense so far?

i think. i got f'(0) = 0 and f'(1) = 1/3. so the answer is... 1?

Bingo.

All riiiiiiiiight. thank you. and wio. but s/he left.

You're welcome.