If `x=e^(log(cos4theta)),y=e^(log(sin4theta)),"then "(dy)/(dx)" is "`

If y=e^(log_(e)x)," then "(dy)/(dx)=

If x=costheta,y=log ( tan ((theta)/(2))),then (dy)/(dx) =

If y= e^(log (log x )) ,then (dy)/(dx) =

If x= e^2log_(e)(sin theta), y= e^2log_(e)(cos theta) , then dy/dx at theta=pi/4 ........... A) 1 B) -1 C) 0 D) 2

If y = log (cos e^(x)), then (dy)/(dx) is:

If u=e ^(log cos 4x ),v =e ^(log sin 4x ),then (dv)/(du)=

If y=log(1+ theta), x= sin^(-1) theta , then (dy)/(dx) =

If y=log(1+ theta), x= sin^(-1) theta , then (dy)/(dx) =

If y=e^(x) log (sin 2x), find (dy)/(dx) .

If y = e^(log x ) , then ( dy)/(dx)