Question

find dy/dx if y=cos(tan)(sin)(log)(sin)(log x)

Answer 1

$y = \cos( \tan( \sin( log( \sin( log(x) ) ) ) ) ) \\ \\ apply \: chain \: rule \\ \\ \frac{dy}{dx} = - \sin( \tan( \sin( log( \sin( log(x) ) ) ) ) ) . { \sec( \sin( log( \sin( log(x) ) ) ) ) }^{2} . \cos( log( \sin( log(x) ) ) ) . \frac{1}{ \sin( log(x) ) } . \cos( log(x) ) . \frac{1}{x}$
hope it will help you.