Consider the function f(x)=x^2+5x+2 and the point a(4,2).
f′(x) =? find a formula for the slope of a line passing through point a, and an arbitrary point on the function. your answer should be a formula in terms of x.
slope=? using your answers from the two previous questions, find the slope(s) of the line(s) through point a that is (are) tangent to f(x). if there is more than one line you can separate your answers with a comma (ex. 5, 2). slope(s) =?