Chapter 1.2, Problem 46E

In Problems 45 and 46 use Problem 55 in Exercises 1.1 and (2) and (3) of this section. Find a function y = f(x) whose second derivative is y″ = 12x − 2 at each point (x, y) on its graph and y = −x + 5 is tangent to the graph at the point corresponding to x = 1. (reference problem 51 in exercise 1.1)

46. Find a function whose second derivative is y″ = 12x − 2 at each point (x, y) on its graph and y = −x + 5 is tangent to the graph at the point corresponding to x = 1.