Question

4. For this question, define f(x) = (x - 1)e-(0-1). (a) Find f'(x) and f"(x). (b) Find where S is increasing and where / is decreasing (e) Find where S is concave up and where / is concave down. (a) Find all critical points of . For each point you find, explain whether it is a (relative) maximum, a (relative) minimum or neither. (e) Find all points of inflection of f. For each point you find, explain why it is a point of inflection (f) Print out or sketch a graph of the function S. Clearly label on your picture: • Where is increasing and where is decreasing. • Where S is concave up and where is concave down. • Any maxima, minima and points of inflection that you found.

Answer 1

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