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If y=x^(3)cosx" then "(dy)/(dx)=……………………...

If `y=x^(3)cosx" then "(dy)/(dx)`=……………………

A

`x^(2) (3 cos x-x sin x)`

B

`x^(2)(3 cos x +x sin x)`

C

`3x^(2) cos +x^(2) sin x`

D

`x^(2) (3 cos -x cos x)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(dy)/(dx) =x^(3) (d)/(dx)(cos x)+cos x(d)/(dx)(x^(3))`
`=x^(2) (3 cos x-x sin x)`
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