Worked Example 1
Find the equations of the tangent and normal to the curve $2y{{x}^{3}}-xy+5{{y}^{2}}+9=0$ at the point $\left( -2,1 \right)$.
Find the equations of the tangent and normal to the curve $2y{{x}^{3}}-xy+5{{y}^{2}}+9=0$ at the point $\left( -2,1 \right)$.