IF `b^2x^2+a^2y^2=a^2b^2`find `dy/dx`

x^(2)/a^2+y^2/b^2=1 find (dy)/(dx)

y=(x^2+1/x^2)^3 find dy/dx

If x^2+y^2=x-y Find dy/dx

If (x^2)/(a^2)+(y^2)/(b^2)=1 , find (dy)/(dx)

If (x^2+y^2)^2=x y , find (dy)/(dx)

If (x^2+y^2)^2=x y , find (dy)/(dx)

If y^2=a x^2+b x+c , then find (dy)/(dx)

if 2^x-2^y=2^(x+y find dy/dx at x=y=2

If y=3x^2+2x , then find dy//dx .

If a x^2+2\ h x y+b y^2+2\ gx+2\ fy+c=0 , find (dy)/(dx) and (dx)/(dy) . Also, show that (dy)/(dx)dot(dx)/(dy)=1 .