If `y=((1)/(x))^(x)` then find `y''(1)`

If ((2x-y)/(x+2y))=(1)/(2), then find the value of ((3x-y)/(3x+y))

y=log_e((1+x^2)/(1-x^2)) then find 225(y''-y') at x=1/2

If (x-1,y+4)=(1,2) then find x & y

If y=(sin^(-1)x cos^(-1)((x^2)/2))/(1+x^2) then find the value of y(1/2) + y(1/sqrt2) + y(-1/2) + y(-1/sqrt2)

(x+ (1)/(y)) = (y+ (1)/(z))= (z + (1)/(x)) and (x ne y ne z) find xyz= ?

If sec^(-1)x=csc^(-1)y, then find the value of cos^(-1)(1)/(x)+cos^(-1)(1)/(y)

If (dy)/(dx)=e^(x+y) and it is given y=1 for x=1 then find the value of y for x=-1

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)