Question: If a multivariate function has continuous partial derivatives, the order in which the derivatives are calculated does not matter. Thus, for example, the function f(x,

If a multivariate function has continuous partial derivatives, the order in which the derivatives are calculated does not matter. Thus, for example, the function f(x, y) of two variables has equal third partials
If a multivariate function has continuous partial derivatives, the order

(a) How many fourth partial derivatives does a function of three variables have?

If a multivariate function has continuous partial derivatives, the order

n+r-l

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