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Manipal Entrance Test 2020 Math Paper

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Question : 8

Total: 70

If f′(x)>0‌∀x∈R,f′(3)=0 and g(x)=f(tan2x−2‌tan‌x+4),0<x<‌

, then g(x) is increasing in

(0,‌
π
4
)
(‌
π
6
,‌
π
3
)
(0,‌
π
3
)
(‌
π
4
,‌
π
2
)

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