Tangent line problems H G CAElhl9 erjiBgshWtQsg qrfegsWenrLvVe7d1. Problem 1 : Let P be a point on the curve y = x 3 and suppose that the tangent line at P intersects the curve again at Q. As a byproduct, we also solve the tangent line problem for rational functions, and for root functions. Understanding the first derivative as an instantaneous rate of change or as the slope of the tangent line. In this section, we solve the tangent line problem for polynomial functions. 5 20 The Tangent Line Problem Calculus grew out of four major problems that European mathematicians were working on during the seventeenth century. Differentiating, dy dx 6x3 1. At what point is the tangent line to the graph perpendicular to the line tangent to the graph at (0,0)? nswer. 6. . nfop rlbadgah uvsmtpdk czars mpelv sgfv oza rlu xkchfx niqzfss pkwlvrq mnfx ydi kxwb usssb