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Q 1617645589.     Let ` f:R\rightarrow R,g:R\rightarrow R` and ` h:R\rightarrow R` be differentiable function such that ` f ( x ) = x ^{ 3 }+3x+2,g ( f ( x ) ) =x` and ` h( g(g(x))) =x` for all `x\in R`. Then

JEE 2016 ADVANCED Paper 1

(This question may have multiple correct answers)

A `g' ( 2 ) =\frac { 1 }{ 15 }`
B ` h' ( 1 ) =666`
C `h ( 0 ) =16`
D `h ( g ( 3 ) ) =36`
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