Hello all:(adsbygoogle = window.adsbygoogle || []).push({});

I need help in finding the derivative of:

log( sqrt(1+ log x) - sin x )

I know that derivative of log x is 1/x.

1/ sqrt(1 + logx) - sin x ) = sqrt(1+log x) + sin x / ( 1 + log x - sin ^2 x)

Then I found derivative of inside expression and multiplied with the previous derivative. I get something almost the same as the answer, but I can't seem to simplify it.

The answer is:

(1- 2x)* sqrt(1 + log x cos x) / 2x * sqrt(1 + log x)* sqrt(1 + log x - sin x)

Any help is greatly appreciated

Thanks!

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# Homework Help: Derivative Help

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