If `y=e^x sinx` then find `d^2 y/dx^2`

If y = e^x tan x , then find d^2y/dx^2

If Y = e^x cos x , then find d^2y/dx^2

(i) If y=(cosx)^(sinx) , then find (dy)/(dx) . (ii) If y=(sinx)^(sinx) , then find (dy)/(dx) .

If y=(sinx)^(cosx) + (cos x)^sinx , then find dy/dx .

If y = tan^-1 x , find (d^2y)/(dx^2) in terms of y alone.

If y=sinx+e^(x), Then find (dy)/(dx) .

If y=x^(sinx)+(sinx)^(x) then find (dy)/(dx) .

If y=f((2x-1)/(x^2+1)) and f^'(x)=sinx^2 , then find (dy)/(dx)

If y=(log_ex)/(x)+e^(x)sinx+log_(5)x then find (dy)/(dx) .

Find (d^2y)/(dx^2) in the following If x = a (theta + sin theta) , y = a(1 - cos theta) , find (d^2y)/(dx^2) at theta = pi/2