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

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The function `x^(5)-5x^(4)+ 5x^(3) -10` has a maxima, when `x=`
A. 3
B. 2
C. 1
D. 0
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Correct Answer - C
`(dy)/(dx)=(d)/(dx)(x^(5)-5x^(4)+5x^(3)-10)=5x^(4)-20x^(3)+15x^(2)=0,x=3,0,1`
`(d^(2)y)/(dx^(2))lt0` at `x=1`
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