esssay

Question

(a) Sketch, by hand, the graph of the function f(x) = ex, paying particular attention to how the graph crosses the y-axis. What fact allows you to do this?
(b) What types of functions are f(x) = ex and g(x) = xe?
Compare the differentiation formulas for f and g.

(c) Which of the two functions in part (b) grows more rapidly when x is large?