MATHEMATICS · Multi-part · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives
Problem
Let f(x)=x3−3x+2. Answer the following questions.
(i) Find the coordinates of the point on the curve where x=1.
(ii) Determine the slope of the tangent to the curve at this point.
(iii) Hence, obtain the equation of the tangent line at x=1. Express your answer in the form y=mx+c.