Hi, I need help in pointing me to the right direction on how to solve this problem.

The question: Find the maximum of y = -4x^{3}- 27x^{2}+ 5x +45 in the range -6 <= x <= 5.

I believe this is a cubic equation and I am having trouble where to start on solving this problem.

Is there a way to solve this problem without using derivative, if so, could you tell me how.

It would be best if I could solve this without derivative.

Thank you!

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