Consider the tangent to the curve .

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Consider the tangent to the curve

y = x^3 + 4x^2 + x - 6

. (1) Find the equation of this tangent at the point where

x = -1

. (2) Find the coordinates of the point where this tangent meets the curve again.