Find \(\frac{dy}{dx}\) if \(x^2+y^2=25\).

Find \(\frac{dy}{dx}\) if \(xy=6\).

Find \(\frac{dy}{dx}\) if \(x^2+xy+y^2=7\).

Find the slope of the tangent to \(x^2+y^2=10\) at the point \((1,3)\).

Find \(\frac{dy}{dx}\) if \(y^3+x=4\).

Find \(\frac{dy}{dx}\) if \(\sin y=x\).

Find \(\frac{dy}{dx}\) if \(x^3+y^3=3xy\).

Find the equation of the tangent line to \(x^2+y^2=5\) at \((1,2)\).

Find \(\frac{dy}{dx}\) if \(e^y+x^2=5\).

For \(x^2+xy+y^2=3\), find \(\frac{dy}{dx}\) at \((1,1)\).