Finding the equations of tangent and normal to a curve at a point

Find the equations of tangents and normals to the curve at the point on it: x^3 + y^3 - 9xy = 0 at (2,4)

Find the equations of tangents and normals to the curve at the point on it: y= x^2 + 2e^x +2 at (0,4)

Find the equations of tangents and normals to the curve at the point on it: x = sin theta and y= cos 2theta at theta = (pi)/6

Find the equations of tangents and normals to the curve at the point on it: 2xy + pi sin y = 2 pi at (1, (pi)/2)

Find the equations of tangents and normals to the curve at the point on it: x sin 2y = y cos 2x at ((pi)/4, (pi)/2)

Find the equations of tangents and normals to the curve at the point on it: x= sqrt t , y= t - frac{1}{sqrt t} at t=4

Find the equations of tangents and normals to the curve at the point on it: x^2 - sqrt 3 xy + 2 y^2 =5 at ( sqrt 3 , 2)

Find the equations of tangent and normal to the curves at the indicated points on it 2x^(2)+3y^(2)-5=0 at (1,1)