MonotonicityHard
Question
A differentiable function f(x) is strictly increasing ∀ x ∈ R, Then -
Options
A.f′(x) > 0 ∀ x ∈ R.
B.f′(x) > 0 ∀ x ∈ R, provided it vanishes at finite number of points.
C.f′(x) > 0 ∀ x ∈ R, provided it vanishes at discrete points though the number of these discrete points may not be finite.
D.f′(x) > 0 ∀ x ∈ R, provided it vanishes at discrete points and the number of these discrete points must be infinite.
More Monotonicity Questions
If f(x) = for −7 ≤ x ≤ 7, then f(x) is increasing function of x in the interval...The function f, defined by f (x) = (x + 2)e-x is -...Function f(x) = x2(x − 2)2 is...eax is monotonic decreasing-...Suppose that f is differentiable for all x such that f’(x) ≤ 2 for all x. If f(1) = 2 and f(4) = 8 then f(2) has t...