For the function f(x) = 6x4 - 16x +1 a. Find the critical numbers of f(x). b. Study the signs of f'(x). Use a "chart". Use b. above to find the intervals in which is increasing or decreasing and find the local maximum and minimum (location and values).

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For the function f(x) = 6x4 - 16x +1 a. Find the critical numbers of f(x). b. Study the signs of f'(x). Use a &#34;chart&#34;. Use b. above to find the intervals in which is increasing or decreasing and find the local maximum and minimum (location and values).

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