Question

Производная от y=(arccos x)^sin x

Answer 1

=$=e^{ln(arccos^{sin(x)}(x) )} =e^{sin(x)*ln(arccos(x))}$$=e^{sin(x)*ln(arccos(x))}(cos(x)*ln(arccos(x))+sin(x)* frac{1}{arccos(x)}$$*frac{-1}{ sqrt{1- x^{2}} } )$