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For what values of x, the function f(x) ...

For what values of x, the function `f(x) = x^(5)-5x^(4)+5x(3)-1` is maximum or minimum? Prove that at x = 0, the function is neither maximum nor minimum.

A

one minimum and two maxima

B

two minima and one maximum,

C

two minima and two maxima,

D

one minimum and one maximum.

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The correct Answer is:
D
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