y'=(x+y)/(x)

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

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)

Simplify: x/(x-y)-y/(x+y)-(2x y)/(x^2-y^2)

When simplified (x^(-1)+y^(-1))^(-1) is equal to (a)\ x y (b) x+y (c) (x y)/(x+y) (d) (x+y)/(x y)

lim_(y rarr x)((y^(y)-x^(x))/(y-x))=

underset(y to x)"Lt" (y^(y)-x^(x))/(y-x)=

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

The quotient of x\ b y\ y added to the product of x\ a n d\ y is written as (a) x/y+x y (b) y/x+\ x y (c) (x y+x)/y (d) (x y+y)/x

[x (cos y) / (x) + y (sin y) / (x)] y = [y (sin y) / (x) -x (cos y) / (x)] x ((dy) / (dx))

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