Number of Partial Derivatives of Order n/Examples
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Examples of Use of Number of Partial Derivatives of Order $n$
Partial Derivatives of Order $1$ of Function of $2$ Variables
Let $u = \map f {x, y}$ be a real function of $2$ variables.
There are $2$ partial derivatives of $u$ of order $1$.
Partial Derivatives of Order $2$ of Function of $2$ Variables
Let $u = \map f {x, y}$ be a real function of $2$ variables.
There are $4$ partial derivatives of $u$ of order $2$.
Partial Derivatives of Order $n$ of Function of $2$ Variables
Let $u = \map f {x, y}$ be a real function of $2$ variables.
There are $2^n$ partial derivatives of $u$ of order $n$.