MonotonicityMedium
Question
eax is monotonic decreasing-
Options
A.always
B.never
C.when a < 0
D.when a > 0
Solution
f(x) = eax
f′(x) = a.eax
f(x) is monotonic decreasing of f′(x) < 0
∴ aeax < 0 [∵ eax > 0]
when a < 0
f′(x) = a.eax
f(x) is monotonic decreasing of f′(x) < 0
∴ aeax < 0 [∵ eax > 0]
when a < 0
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