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The least value of k for which the function x^2+kx+1 is an increasing function in the interval 1

The least value of k for which the function x^2+kx+1 is an increasing function in the interval 1

Grade:12

1 Answers

Askiitian.Expert Rajat
24 Points
11 years ago

Hi,

f(x) = x2 + kx + 1

f'(x) = 2x + k >= 0 if f(x) is increasing

Or,

k>= -2x

Now x ε (1,2)

thus,

k>= -2

 

Regards

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