#me need help

9 messages · Page 1 of 1 (latest)

white oysterBOT
zealous cipher
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I think maximum number of turns means the maximum number of turning points

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I.e the points in the equation where the gradient is 0

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And then turns the other way

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Because it is a quartic equation (degree 4)

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That means you must take the derivative and equate it to 0

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To find the values of x where the gradient is 0 (the turning points or bends if you want to call it that)

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Taking the derivative means the quartic turns into a cubic (3rd degree)

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Meaning the maximum number of bends for this quartic equation is 3