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

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)

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

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

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)

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

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

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

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

The value of (x/y)/(x/y+y/x) is

Solve {x cos((y)/(x))+y sin((y)/(x))}ydx={y sin((y)/(x))-x cos((y)/(x))}xdy