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

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

Find the equations of the tangent and normal to the curve y = x^(2) at (0,0).

Find the equations of tangent and normal to the curve y=(6x)/(x^(2)-1)at (2,4)

Find the equations of tangent and normal to the curve y= e^(x) at x= 0.

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

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

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.