Question 1

For the function f(x) = (x + 3)(x - 2)³find

a) the interval(s) of increase and decrease of f,

b) the value(s) of x for which f has a local maximum and minimum,

c) and the interval of concavity and inflection point(s)

Question 2

Given f(x) = e^{(x2- x)}, find

a) the interval(s) of increase and decrease of f,

b) value(s) of x for which f has a local extremum,

c) the interval(s) of concavity and any inflection point(s).