The derivative of x2sin⁡x+cos⁡2x is

The derivative of x2sinx+cos2x is

  1. A

    x2cosx+2xsinxsin2x

  2. B

    x2cosx+2xsinx2sin2x

  3. C

    x2cosx+xsinx2sin2x

  4. D

    x2cosx+2xsinx+2sin2x

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    Solution:

    Let,

     y=x2sinx+cos2xdydx=ddxx2sinx+ddx(cos2x)=x2ddx(sinx)+sinxddxx2+(2sin2x)=x2cosx+2xsinx2sin2x

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