`y=x^n`, Find `(dy)/dx`

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

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

If y=x e^x , find dy/dx

y=e^(x) find (dy)/(dx)

If y=a\ x^(n+1)+b x^(-n) find (dy)/(dx) .

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

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

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

Let y=e^(x sin x^3)+(t a n x)^x 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 .