Write the equation of tangent at `(1,2)` for the curve `y=x^(3)+1`

(a) Find the slope of the tangent to the cube parabola y = x^(3) at the point x=sqrt(3)/(3) (b) Write the equations of the tangents to the curve y = (1)/(1+x^(2)) at the 1 points of its intersection with the hyperbola y = (1)/(x+1) (c) Write the equation of the normal to the parabola y = x^(2) + 4x + 1 perpendicular to the line joining the origin of coordinates with the vertex of the parabola. (d) At what angle does the curve y = e^(x) intersect the y-axis

Write the equation of a tangent to the curve x=t, y=t^2 and z=t^3 at its point M(1, 1, 1): (t=1) .

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

The equation of tangent to the curve y=3x^(2)-x+1 at (1,3) is

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

Write the equation of the tangent to the curve y=x^2-x+2 at the point where it crosses the y-axis.

The equation of tangent to the curve y=x^(2)+4x+1 at (-1, -2) is

The equation of tangent to the curve y=x^(2)+4x+1 at (-1,-2) is

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

Find the equation of the tangent to the curve y=(x^(3)-1)(x-2) at the points where the curve cuts the x-axis.