Application of DerivativeHard
Question
The curve y = f(x) which satisfies the condition f′ (x) > 0 and f′′ (x) < 0 for all real x, is:
Options
A.
B.
C.
D.
Solution
f′(x) > 0 ⇒ f(x) is increasing.
f″(x) < 0 ⇒ f(x) is convex (opening down ward)
f″(x) < 0 ⇒ f(x) is convex (opening down ward)
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