Question

производная функции f(x)=sin(ln x)

Answer 1

f(x) = sin(ln(x)) 

f '(x) = cos(ln(x))* d/dx ln x

f '(x) = cos(ln(x))* 1 / x

Answer 2

f " (x)  =  (sin(lnx)) "   =  cos(lnx) * (lnx) "  =  cos(lnx) * 1/x   =   cos(lnx)/x