(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Differentiate x^(cosx) = y ^(sinx) with respect to x

2. Relevant equations

3. The attempt at a solution

I tried using natural logs but im not sure if its correct, if it's wrong please point me to the right direction, thanks

x^(cosx) = y^(sinx)

ln x^(cosx) = ln y ^(sinx)

ln x (cosx) = ln y (sinx)

cosx/x - sinx lnx = cosx lny +sinx/y (dy/dx)

cosx/x - sinx lnx - cosx lny = sinx/y (dy/dx)

(cosx/x - sinx lnx - cosx lny) / (sinx/y) = dy/dx

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# How to differentiate x^(cosx) = y^(sinx) with respect to x

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