0,f"(2) > 0 ⇒ f has local minimum at x = 2" >

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Application of Derivatives

Section: Mathematics

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Question : 13

Total: 32

Let ƒ:R→(0,∞) and g:R→R be twice differentiable function such that ƒ′′and g′′ ar continuous functions on R. Suppose ƒ′(2)=g(2)=0,ƒ′′(2)≠0 and g′(2)≠0.I,then

[JEE Adv 2016 P2]

f has a local minimum at x=2
f has a local maximum at x=2
f"(2)>f(2)
f(x)−f"(x)=0 for at least one x∊R

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