Equation of Tangent and Normal

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

Finding the equations of tangent and normal parallel or perpendicular to a given line

Find the equations of tangent and normal tothe curves at the indicated points on it.(1) y =x+4x+1 at (-1,-2)

Find the equations of tangent and normals to the curves y^(2)=4ax at (at^(2),2at)

Find the equations of tangent and normals to the curves y=(1)/(1+x^(2)) at (0,1)

Find the equations of tangent and normals to the curves y=x^(2)-4x+2 at (4,2)

Find the equations of tangent and normals to the curves y=sin x+cos x at x=(pi)/(3)

Find the equations of tangent and normals to the curve x^(2)+3y+y^(2)=5 at (1,1). Also find the...area of the triangle formed by the tangent,normal and x- axis.