f : R → R be a differentiable function x ∈ R. If tangent drawn to the curve at any point x ∈ (a, b) always lie below the curve then:
Answer & explanation
Correct answer: option 3
Checking the options:
(A) f'(x) > 0
f''(x) < 0
Not satisfactory
(B) f'(x) < 0
f''(x) < 0
Not satisfactory
(C) f'(x) > 0
f''(x) > 0
Satisfactory ⇒ (C)