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Differentiate w.r.t to' x 'to the follow...

Differentiate w.r.t to' x 'to the following function`. x^(2)sinx + cos2x`

Text Solution

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Let `y=(x^(2)sinx + cos2x`
`(dy)/(dx) = d/(dx)(x^(2)sinx)+d/(dx)(cos2x`
`x^(2).cosx + sinx2x + (-sin2x).2` (by product rule)
`=x^(2)cosx+2xsinx-2sin2x` [by chain rule]
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