MonotonicityHard

Question

The function y = increases in the interval-

Options

A.(-∞, 0)
B.(e, ∞)
C.(0, ∞)
D.(-∞, e)

Solution

f(x) =
f′(x) =
for f(x) to be increasing, so f′(x) > 0
⇒    > 0
⇒  log x > 1
⇒ x > e
⇒ x ∈ (e, ∞)

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