Consider the function f(x)=6+exex (A) Find the first derivative of f. f(x)= (B) Use interval notation to indicate where f(x) is increasing. NOTE: Use 'Inf' for , '-Inf' for , and use 'U' for the union symbol. Increasing: (C) List the x coordinates of all local minima of f. If there are no local maxima, enter 'NONE'. x values of local minima: (D) List the x coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima: (E) Find the second derivative of f : f(x)= (F) Use interval notation to indicate the interval(s) of upward concavity of f(x). Concave up: (F) Use interval notation to indicate the interval(s) of downward concavity for f(x) Concave down: (G) List the x values of the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points