a. Suppose y = f(x) = e-". Calculate f' (x) by the chain rule, and f" (x) by the product rule and the chain rule. Note that 0 -oo, no local maximum Olocal minimum as I -> oo, local maximum at (0, 1) ONone of these. Olocal minimum at (0, 1), no local maximum ONo local minimum, local maximum at (0, 1) b. Suppose y = f(x) = e-"". Calculate f' (x) by the chain rule, and f" (x) by the product rule and the chain rule. Note that 0 oo, local maximum at (0, 1) ONo local minimum, local maximum at (0, 1) Olocal minimum as I -> -oo, no local maximum Olocal minimum at (0, 1), no local maximum Ono local minimum or local maximum c. Suppose y = f(x) = e-"". Calculate f'(x) by the chain rule, and f" (x) by the product rule and the chain rule. Note that 0 oo, local maximum at (0, 1) ONone of these