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In Problem complete the following for each function.

(a) Find f'(x).

(b) Check your result in part (a) by graphing both it and the numerical derivative of the function.

(c) Find x-values for which the slope of the tangent is 0.

(d) Find points (x, y) where the slope of the tangent is 0.

(e) Use a graphing utility to graph the function and locate the points found in part (d).

F(x) = (x2 - 4)3 + 12

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