Consider the function below. f(x) = -3x² + 6x + 6 Exercise (a) Find the critical numbers of f. Step 1 Differentiate f(x)=-3x² +

Question

Consider the function below.
f(x) = -3x² + 6x + 6
Exercise (a)
Find the critical numbers of f.
Step 1
Differentiate f(x)=-3x² + 6x + 6 with respect to x.
f'(x)=
=
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Exercise (b)
Find the open intervals on which the function is increasing or decreasing.
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Exercise (c)
Apply the First Derivative Test to identify the relative extrema.

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