Differentiate the following function with respect to `x:` (i)`e^(xlogx)` (ii) `10^(log sinx)`

Explanation

(i) Let `y=e^x log x`

Differentiating w.r.t. `x`, we get

`(d y)/(d x)=d/(d x)(e^x log x) `

`=e^x d/(d x) (log x)+(log x) d/(d x)(e^x)`

`=e^x(1/x)+(log x)(e^x)`

`=e^x(1/x+log x)`

(ii)Let `y=10^log sin x ldots(i)`

Taking log on both sides,

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