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UPSC NDA I 2016 Mathematics Solved Paper

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For the next three (3) items that follow :

Let

f:\mathbb{R}\rightarrow\mathbb{R}

be function such that

f(x)=x^3+x^2f'(1)+xf''(2)+f'''(3)

for

x\in\mathbb{R}

[NDA I 2016]

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Question : 62 of 120

Marks: +1, -0

What is

f'(1)

$-6$
$-5$
$1$
0

Solution:

f'(1)=-5

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