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Question: If f(x) = x<sup>2</sup> + ax + 1 is monotonic increasing in the interval [1, 2], then the minimum v...

If f(x) = x2 + ax + 1 is monotonic increasing in the interval

[1, 2], then the minimum value of a is –

A

– 1

B

– 2

C

1

D

0

Answer

– 2

Explanation

Solution

Increasing ̃ f ¢(x) > 0 ̃ 2x + a > 0

̃ a > – 2x in [1, 2]

a > - 2 \end{matrix}$$ as greatest value of – 2x = – 2