" 14.If "y=x^(x)" then "y'=ul(y)

If x^(y)=y^(x) then ((x)/(y))^((x)/(y))=x^((x)/(y)-k) where k=

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

If x^(y)=y^(x)" and "x=2y , then the values of x and y are (x, y gt 0)

If x^(y)=y^(x) , prove that (dy)/(dx)=((y)/(x)-log y)/((x)/(y)-log x)

If x^(y)=y^(x)" and "x=2y , then the values of x and y are ( x, y gt 0 )

If x^(y)=y^(x) show that (x/y)^(x/y)=x^((x)/(y)-1) if further x=2y then prove that y=2

If x^y+y^x= (x+y)^(x+y) , then prove that dy/dx= ((x+y)^(x+y) [1+log(x+y)]-yx^(y-1)-y^xlogy)/(x^ylogx+xy^(x-1) -(x+y)^(x+y) [1+log(x+y)]

If A={(x,y):y=e^(-x)}" and "B={(x,y):y=-x} . Then,