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JEE Advanced 2016
Paper-1 2016
Multiple correct answers - Select all that apply
Question
Let $f: R \rightarrow R, g: R \rightarrow R$ and $h: R \rightarrow R$ be differentiable functions such that $f(x)=x^3+3 x+2$, $g(f(x))=x$ and $h(g(g(x)))=x$ for all $x \in R$. Then
Select ALL correct options:
A
$g^{\prime}(2)=\frac{1}{15}$
B
h'(1) = 666
C
h(0) = 16
D
h(g(3)) = 36
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
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JEE Advance
Mathematics
Easy
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