Consider the following function: f (x) = -1/2 x^4 +16x^2 -4 Determine f′(x) and f′′(x).  Determine where the function is increasing and decreasing. Enter your answers in interval notation. seperate multiple intervals with a comma. Determine where the function is concave up and concave down. Enter your answers in interval notation. seperate multiple intervals with a comma. Enter the x-values of any local minima, maxima, and inflection points. seperate multiple intervals with a comma.

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A: function

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A: see below the answer and explanation

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A:

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A:

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A:

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A:

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A: our objective is to conclude

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A:

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A: topic -derivative

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A: