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Let f(x)=4x^(3)+x^(2)-4x-1. The equation...

Let `f(x)=4x^(3)+x^(2)-4x-1`. The equation f(x)=0 has roots 1 and `(-(1)/(4))`. Find the root of f'(x)=0 mentioned in Rolle's theorem.

A

`(1)/(3) `

B

`(2)/(5)`

C

`(3)/(4)`

D

`(1)/(2)`

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The correct Answer is:
D
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