Evaluate `del/(dely)(a^2tan^(-1)(x/y))`

Find the value of tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y))

Find the value of tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y))

If x gt y gt 0 , then find the value of tan^(-1).(x)/(y) + tan^(-1) [(x + y)/(x -y)]

The solution of the differential equation (1+y^2)+(x-e^(tan^-1y))dy/dx=0 is (A) x e^(2 tan^-1y)=e^(tan^-1y)+k (B) (x-2)=k e^(-tan^-1y) (C) x e^(tan^-1y)=e^(2 tan^-1y)+k (D) x e^(tan^-1y)=tan^-1y+k

Find the derivative y=2/3tan^(-1) ((5tan(x/2)+4)/3)

The solution of differential equation (1+y^(2))+((x-2e^(tan^(-1)y))dy)/(dx)=0 is (x-2)=ke^(tan^(-1)y)xe^(tan-1)y=e^(2)tan^(-4)y+kxe^(tan^(-1)y)=tan^(-1)y+kxe^(2tan^(-1)y)=e^(2tan^(-1)y)+k

Find dy/dx if y=e^(tan^-1(x^2)

If u = (x^2+y^2+z^2)^(-1/2) then prove that (del^2u)/(delx^2)+(del^2u)/(dely^2)+(del^2u)/(delz^2) =0

Find (dy)/(dx) if,tan ^(-1)(x^(2)+y^(2))=a