Differentiate the following w.r.t. x:(i) `e^(-x)` (ii) `sin (log x), x > 0` (iii) `cos^(-1)(e^x)` (iv) `e^(cosx)`

Explanation

1)` y=e^(-x)`

differentiate withrespect to x

`y'=-e^(-x)`
2)`y=sin(logx)`

differentiate with respect to x

`y'=(cos(logx))/x`

3)`y=cos^(-1)(e^x)`

differentiate with respect to x

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