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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
0
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