" (i) "x^(y)+y^(x)=a

x^(y)=y^(x),x=2y

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

If x ^(y) + y ^(x) = a ^(b) then show that (dy)/(dx) =- ((y x ^(y-1) + y^(x) log y)/( x ^(y) log x + x y ^(x -1)))

If x^(y) * y^(x) = (x + y) ^(5) , " find " (dy)/( dx)

the value of lim_(x rarr y)(x^(y)-y^(x))/(x^(x)-y^(y)) is:

If x=2 and y=4 then x^(y/x)+y^(x/y)= ______

Verify : (i) x^3+y^3=(x+y)(x^2-x y+y^2) (ii) x^3-y^3=(x-y)(x^2+x y+y^2)

If x^(y).y^(x)=1, prove that (dy)/(dx)=-(y(y+x log y))/(x(y log x+x))