If y = then show that, 2xy dy dx mm 5

If xy=tan(xy) , show that (dy)/(dx)=(-y)/(x)

If cos ( xy) = x , show that (dy)/(dx) = -((1+ y sin (xy)))/(x sin xy)

If y = sqrt(x/(m))+sqrt(m/(x)) show that 2xy (dy)/(dx) = (x)/(m) - (m)/(x) *

Show that , the equation of all circles touching the y-axis at the origin is , 2xy (dy)/(dx) = y^(2) - x^(2)

If y = sqrt(x/(a))-sqrt(a/(x)) show that 2xy (dy)/(dx)=(x)/(a)-(a)/(x)

If y=x+(1)/(x), show that x^(2)(dy)/(dx)-xy+2=0

If y=x+(1)/(x), show that x^(2)(dy)/(dx)-xy+2=0

if cos(xy)=x, show that (dy)/(dx)=(-(1+ysin(xy)))/(xsinxy) .