Find the equations of the tangents to the following curves at the given points :
`x^(2)+y^(2)+xy=3" at (1, 1"`.

Find the equation of the tangent and normal to the following curve at the given point : x^3+y^3=2 at (1,1)

Find the equation of the tangent and normal to the following curve at the given point : y=2x^3-2x^2-8x+7 at (1,-1)

Find the equation of the tangent and normal to the following curve at the given point : y^2=x at (1,1)

Find the equation of the tangent and normal to the following curve at the given point : y=x logx+1 at (1,1)

Find the equation of the tangent and normal to the following curve at the given point : x^2/a^2+y^2/b^2=1 at (x_1,y_1)

Find the equations of the tangent and the normal to the following curves at the given point: x^(2//3) + y^(2//3) = 2 at (1,1)

Find the equation of the tangent and normal to the following curve at the given point : y=x^3 at (1,1)

Find the equations of the tangent and the normal to the following curves at the given point: 20 x^4 + y^4 = 36 at (-1,-2)

Find the equations of the tangent and the normal to the following curves at the given point: 9x^2 + 16y^2 = 144 at (x_1.y_1) where y_1 = 2,x_1>0