5. (20 points) Let f(x) = er'x. Note: D(e"): IR and Mex): (0, 00). MUST show all work for credit! Hint: Factor cut .9:W2 when setting a function equal to zero because there is no at that makes 3\"\" = D. 3. Find ['00 b. Find f\"(x) c. Find the critical point(s) of f . d. Find the inflection pointls) off. e. Identify all local extrema (max and min) using either the first or second derivative test. Make sure to label ALL extrema