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Question 10 Find the local minimum and maximum values of the function below f x...

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Calculus

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Question 10 Find the local minimum and maximum values of the function below f x 3x 12x 108x 6 f x 12x 36x 216x 12x x 6 x 3 From the chart Interval x 3 3 x 0 0 x 6 x 6 12x And f 0 1 T 1 6 x 3 f x T we see that f x changes from negative to positive at 3 so f 3 value by the First Derivative Test Similarly f 2 changes from negative to positive at 6 so f 6 f decreasing on 3 increasing on 3 0 decreasing on 0 6 increasing on 6 is a local minimum is a local minimum value is a local maximum value because f x changes from positive to negative at 0

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