consider the function f(x) = 1 + x3  e-.3x a. what is f'(x) b. what is f''(x) c. what are...

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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 orneither?

e. find the inflection points

f. if we define f(x) to have the domain of [2,50] compute theglobal extreme of f(x) on that interval

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