MonotonicityHard
Question
Function f(x) = 
, x ≠ -1 is-
, x ≠ -1 is-Options
A.monotonic increasing
B.monotonic decreasing
C.not monotonic
D.none of these
Solution
f(x) = 
, x ≠ -1
f′(x) =
, x ≠ -1
f′(x) > 0 ∀ x ∈ R - {-1}
Hence f(x) is monotonic increasing.
, x ≠ -1f′(x) =
, x ≠ -1f′(x) > 0 ∀ x ∈ R - {-1}
Hence f(x) is monotonic increasing.
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