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Given the function g(x) = x3-3x + 1, use the first and second derivative tests to...

Given the function g(x) = x3-3x + 1, use the first and second derivative tests to

(a) Find the intervals where g(x) is increasing and decreasing.

(b) Find the points where the function reaches all realtive maxima and minima.

(c) Determine the intervals for which g(x) is concave up and concave down.

(d) Determine all points of inflection for g(x).

(e) Graph g(x). Label your axes, extrema, and point(s) of inflection.

Math   Calculus   
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