MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
For the parabola y=x2, consider the points P(−1,1) and Q(2,4) on the curve.
(i) Find the slopes of the tangents to the curve at P and Q.
(ii) Obtain the equations of these two tangents.
(iii) Calculate the acute angle between the two tangents at the points P and Q.