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Application of Derivatives question

2015 · Shift 0 · Q34

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2015 · Shift 0 · Q34

Application of Derivatives question

2015 · Shift 0 · Q34

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

f(x)

be a polynomial of degree four having extreme values at

x=1

and

x=2

. If

\mathop {\lim }\limits_{x \to 0} \left[ {1 + {{f\left( x \right)} \over {{x^2}}}} \right] = 3

, then f

(2)

is equal to :

A
$0$
B
$4$
C
$-8$
D
$-4$

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