Question

Find all the values of the parameter a for which the point of minimum of the function f (x) = 1 + a²x – x³ satisfies the inequality (x² + x + 2)/(x² + 5x + 6) < 0. 

Answer 1

We have

Thus, f(x) will provide us the min value.

Now, for max or min, f'(x) = 0 gives