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

If x=1 then find x+y=-2,y=?

If If x^(y)+y^(x)=1 then find (dy)/(dx) .

If x^(y)+y^(x)=1 then find (dy)/(dx)

If x^(x)+y^(y)=1 then find (dy)/(dx) .

If y=2^(-2^((1/(1-x))) , then find lim_(x->1^+)y

If (tan^(-1)x)^(y)+y^(cotx)=1, then find (dy)/(dx).

If f(x) is a function satisfying f(x)-f(y)=(y^y)/(x^x)f((x^x)/(y^y))AAx , y in R^*"and"f^(prime)(1)=1 , then find f(x)

If tan^-1(1/y)=-pi+cot^-1 y, where y=x^2-3x+2, then find the value of x

If y=propx^(4) When x=1000, y=y_(1) then find the value of x so that value of y can be 2y_(1) ,

If (2x + 3,y-1) =(3,5) , then find x and y.