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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
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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