# Differentiate the

Given: xx – 2sin x

Let y= xx – 2sin x

Let y = u - v

u = xx and v = 2sin x

For, u = xx

Taking log on both sides, we get

log u = log xx

log u = x.log(x)

Now, differentiate both sides with respect to x

For, v = 2sin x

Taking log on both sides, we get

log v = log 2sin x

log v = sin x. log (2)

Now, differentiate both sides with respect to x

Because, y = u - v

dy/dx = xx(1 + logx) - 2sinx.cosx.log2

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