Derivative of function f(x)= sin (sqrt (ln(dx ^7)))

Question

Derivative of function f(x)= sin (sqrt (ln(dx ^7)))

Answer 1

y = sin ( sqrt( ln (x^7)))

dy/dx = cos( sqrt( ln( x^7))) (1/2) ( ln(x^7))^(-1/2) (7/x)

= (7/2) cos ( sqrt( ln (x^7)))/ [x sqrt( ln(x^7)) ]