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We can find the inflection points of a function by analyzing its second derivative. ... An inflection point only occurs when a function goes from being concave up to ... g'(x)=4 * (x-2)^3 * 1 <--- Since the derivative of (x-2) is just 1, you don't have to ... in order to find the concavity is to check whether f(x) is positive or negative for ...

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