You can put this solution on YOUR website! for the function f(x)=x^3-27x find the maximum and minimum points
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f(x)=x^3-27x
f'(x) = 3x^2 - 27 = 0
x = -3, +3
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f''(x) = 6x
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f''(-3) = -18
--> Local max at x = -3
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f''(3) = 18
--> local min at x = 3