MonotonicityHard
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
Create a free account to view solution
View Solution FreeMore Monotonicity Questions
The largest set of real values of x for which ln (1 + x) ≤ x is...Consider the function f(x) = 8x2 - 7x + 5 on the interval [-6, 6]. The value of c that satisfies the conclusion of the m...A condition for a function y = f(x) to have an inverse is that it should be-...The function f (x) = tan x - x...The function f(x) = cos | x | - 2ax + b increases along the entire number scale. The range of ′a′ is given b...