Find the equation of the tangent and normal of the following curves at the specified point:
`y=x^(2)+4x+1` at `x=3`

Find the equation of the tangent and normal of the following curves at the specified points : y^(2)=4 ax at the ends of latus rectum

Find the equation of the tangent and normal to the following curve at the given point : y=x^2 at (2,4)

Find the equation of the tangent and normal of the following curve at the specified point : y=x^(3)-3x at the point (2,2)

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

Find the equation of the tangent and normal to each of the following curves at the specified points : xy^(2)=18 at the point (2,3)

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 each of the following curves at the specified points : x^((2)/(3))+ y^((2)/(3))=2"at" (1,1)

Find the equation of the tangent and normal to each of the following curves at the specified points : y(x-2)(x-3)+7=x and the point, the where curve intersect the x-axis.

Find the equations to the tangents and normals to the following curves at the indicated points. Y = 2x^2 + 3 at x = - 1