Ever Increasing

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What is the maximum value of a a such that f ( x ) = 7 x 3 + a x 2 + a x + 25 f(x) = 7 x^3+ax^2+ax+25 is an increasing function in the domain ( − ∞ , ∞ ) ? (-\infty,\ \infty)?

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Ajay Dutta by Ajay Dutta , 24, India

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1 solution

Alexander Sludds
Mar 3, 2014

A quick application of quadratic discriminant gives the answer.

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