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Take the second derivative, set that equal to zero, and solve for x. All the possible x's you get from that are the x coordinates for the inflection points. To get the y coordinates, plug the x's back into the original equation and solve for y. I say x's because sometimes there will be multiple outputs. But since you're dealing with an equation to the third power, the second derivative's power will only be to the first, giving you only one x (one inflection point).

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Q: How do you find the inflection point on an equation that has a variable to the third power?
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