Consider the function hx ex e-x2for -infin 1 so hprimex 0
Consider the function h(x) =ex + e-x2for -∞ 1). So h′(x) 0 and so h′(x) > 0 on the interval (0,∞). Thus h is increasing on the interval (0,∞).(b) Show that h(x) is always concave up.
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