SOLUTION: If y=-2x^6-32x^3-118, does y have a maximum or a minimum value? What is the value? What is the corresponding value of x?

Question 982223: If y=-2x^6-32x^3-118, does y have a maximum or a minimum value? What is the value? What is the corresponding value of x?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Best handled using derivatives.

Where is this expression, a rate of change for y with x, zero? That would be where original equation y is either flat horizontally, OR a maximum or a minimum.

You will find that the value for x at which the first derivative is zero is x=-2.
Just plug in NEGATIVE 2, in the sixth-degree equation, and find out this maximum value.
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