If `y=xsiny," then "(dy)/(dx)=`

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

If y=xsiny , prove that (dy)/(dx)=y/(x(1-xcosy))

If y=xsiny , prove that (dy)/(dx)=y/(x(1-xcosy)

If y=xsiny , prove that (dy)/(dx)=(siny)/((1-xcosy))

If y=xsiny," then "x(1-xcosy)y_(1)=

(i) If y=(sinx), find (dy)/(dx) . (ii) If y=(cosx)^(x) , find (dy)/(dx) . (iii) If y=(tanx)^(x) , find (dy)/(dx) .

If log(xy)x^(2)+y^(2)," then: "((dy)/(dx))((dx)/(dy))=

If y=x log((x)/(a+bx)), thenx ^(3)(d^(2)y)/(dx^(2))= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^(2)y(dy)/(dx)-x(d)(y(dy)/(dx)-x)^(2)

The solutions of y=x((dy)/(dx)+((dy)/(dx))^3) are given by (where p=(dy)/(dx) and k is constant)