Home Maths Differentiation and Applications of Derivatives General f : R → → R be a differentiate function ∀ ∀ …
Maths Differentiation and Applications of Derivatives General Single Correct MCQ
Published on: August 13, 2026

f : R → → R be a differentiate function ∀ ∀ x ∈ ∈ R. If tangent drawn to the curve at any point x e (a, b) always lie below the curve then

A
f '(x) > 0, f "(x) < 0 ∀ ∀ x ∈ ∈ (a, b)
B
f '(x) < 0, f"(x) < 0 ∀ ∀ x ∈ ∈ (a, b)
C
f(x) > 0, f "(x) > 0 ∀ ∀ x ∈ ∈ (a, b)
D
None of these

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The correct answer is:
C

Tangents will lie below the graph if f '(x) increases with increase in x, i.e., f"(x) > 0.

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