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Taylor series is a method to analyze functions as polynomials.

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Taylor's theorem for a composition with $\min:\mathbb R^2\to\mathbb R$ and differentiability...

Obviously in the case that $n=1$, we have $s(x,x)=0$ and so if $f'(x) \neq 0$ then $\frac{\partial h}{\partial y_1}$ doesn't exist at $(x,x)$. So I will assume that $n \geq 2$. Answer to Question 1. …
Julian Newman's user avatar