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Application of Derivatives

Section: Mathematics

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Question : 5

Total: 32

Let f:ℝ→ℝ be given by f(x)=(x−1)(x−2)(x−5).Define F(x)=

f(t)dt,x>0
Then when of the following options is/are correct?

[JEE Adv 2019 P2]

F has a local minimum at x=1
F(x)≠0 for all x∊(0,5)
F has a local maximum at x = 2
F has a local maximum at (0,∞)

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