y=x^(x)

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

The third proportional to (x^(2)-y^(2)) and (x-y) is (x+y) b.(x-y)c(x+y)/(x-y) d.(x-y)/(x+y)

Prove that |(x,y,y),(y,x,y),(y,y,x)| = (x + 2y)(x - y)^(2)

If x=2 and y=4 , then ((x)/(y))^(x-y)+((y)/(x))^(y-x) =________.

The factors of x^3-x^2y-x y^2+y^3 are (a (x+y)(x^2-x y+y^2) (b) (x+y)(x^2+x y+y^2) (c) (x+y)^2(x-y) (d) (x-y)^2(x+y)

Which one of the following is not a function? {(x , y): x , y in R , x^2=y} b. {(x , y): x , y in R , y^2=x} c. {(x , y): x , y in R , x=y^3} d. {(x , y): x , y in R , y=x^3}

If A = {(x, y) : y^2 = x, x, y in R} , B = {(x, y) : y = |x|, x, y in R} , then

If A = {(x, y) : x^2 = y, x, y in R} B = {(x, y) : y = |x|, x, y in R} then

Simplify : x - y - {x-y - (x+y)-bar(x-y)}