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

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Consider the function below.f(x) = -3x + 6x + 6Exercise (a)Find the critical numbers of f.Step 1Differentiate f(x)=-3x + 6x + 6 with respect to x.f'(x)==SubmitSkip (you cannot come back)Exercise (b)Find the open intervals on which the function is increasing or decreasing.Click here to begin!Exercise (c)Apply the First Derivative Test to identify the relative extrema.

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