Increasing Cubic

Level pending

What is the sum of the minimum and maximum values of the constant a a such that f ( x ) = 1 3 x 3 + a x 2 + ( 8 a − 7 ) x + 12 f(x) = \frac{1}{3}x^3 + ax^2 + (8 a -7)x + 12 is an increasing function in the interval ( − ∞ , ∞ ) ? (-\infty,\ \infty)?

8 8 10 10 12 12 6 6

Ajay Dutta by Ajay Dutta , 24, India

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