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If y=x^2sinx,then (dy)/(dx) will be.....

If `y=x^2sinx`,then `(dy)/(dx)` will be..

A

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

B

`2x sin x`

C

`1`

D

`2 sin^(2)x`

Text Solution

Verified by Experts

The correct Answer is:
A

`y=x^(2)sinx`
`(dy)/(dx)=x^(2)(d)/(dx)sinx+sinx(d)/(dx)(x^(2))`
`=x^(2)cosx=2xsinx`
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