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# Extrema

How can you maximize your happiness under a budget? When does a function reach its minimum value? When does a curve change direction? The calculus of extrema explains these "extreme" situations.

What is the sum of all the local minima of \[f(x)=3x^4-8x^3-6x^2+24x+14?\]

How many inflection points does the curve \(y=2xe^{-x^2}+7\) have?

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