Let `z=(cosx)^5a n dy="sin"xdot` Then the value of `2(d^2z)/(dy^2)a tx=(2pi)/9` is____________.

If y=e^(sin x) ,the value of (dy)/(dx) at x=(pi)/(2) is

x=t cos t,y=t+sin t. Then (d^(2)x)/(dy^(2)) at t=(pi)/(2) is

If y=cos x then |(d^(2)(sin^(7)x))/(dy^(2))| at x=(pi)/(2)

A point z moves in the complex plane such that art (z-2)/(z+2)=(pi)/(4) then the minimum value of |z-9sqrt(2)-2i|^(2) is equal to ____________

Let y =log_(e)sin(x^2),0ltxlepi/2 . The value of dy/dx at x= sqrt(pi/2) is

If y=|cosx|+|sinx| , then (dy)/(dx)" at "x=(2pi)/(3) is

If y=log(sinx-cosx) , then (dy)/(dx) at x=(pi)/(2) is :

If n=5 in (i),then value of (z+1)(z^(2)-2z cos((pi)/(5))+1)(z^(2)+2z cos(2(pi)/(5))+1)