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The function x^(5)-5x^(4)+ 5x^(3) -10 ha...

The function `x^(5)-5x^(4)+ 5x^(3) -10` has a maxima, when `x=`

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
`(dy)/(dx)=(d)/(dx)(x_(5)-5x_(4)+5x_(3)-10)`
`= 5x_(4)-20x_(3)+15x_(2)=0`,
`(d^(2)y)/(dx^(2)) lt 0`
at `x =1`.
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