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Differentiation question

2017 · 9 Apr · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
Differentiation
2017 · 9 Apr · Shift 1 · Q42

Differentiation question

2017 · 9 Apr · Shift 1 · Q42

JEE MainMathematicsDifferentiationMCQ+4 / −1

Let f be a polynomial function such that f (3x) = f ' (x) . f '' (x), for all x

\in

R. Then :

A
f (2) + f ' (2) = 28
B
f '' (2) $-$ f ' (2) = 0
C
f '' (2) $-$ f (2) = 4
D
f (2) $-$ f ' (2) + f '' (2) = 10

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