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f(x)= 1/3x^3-3x2+8x+1 Fin the following: a) f'(x) b) The critical numbers c) State the intervals where...

f(x)= 1/3x^3-3x2+8x+1 Fin the following:

a) f'(x)

b) The critical numbers

c) State the intervals where the function is increasing and decreasing. You must state the test values that you are using but don't have to show plugging the test values into the corresponding function.

d) State the relative maximum and relative minimum, if any. If there is no relative maximum and/or relative minimum, then state none. Round the y-value(s) to 2 decimal places, if needed.

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