In: Math
consider the function f(x) = 1 + x3 e-.3x
a. what is f'(x)
b. what is f''(x)
c. what are the critical points of f(x)
d. are the critical points a local min or local max or neither?
e. find the inflection points
f. if we define f(x) to have the domain of [2,50] compute the global extreme of f(x) on that interval