4. Let p be a function whose second derivative is p"(x) = (x + 1) (x-2)e-x (a) Construct a second derivative sign chart for p and determine all inflection points of p. (b) Suppose you also know that x is a critical value of p. Does p have a local minimum, ? Why? ) lies on the graph of y = p(x) and p02) =- local maximum, or neither at x = (c) If the point (2 find the equation of the tangent line to y = p(x) at the point where x = 2, Does the tangent line lie above the curve. below the curve, or neither at this value? Why
