How many nth-order partial derivatives does a function of two variables have?
A) $n ^ { 2 }$
B) $2 ^ { n }$
C) $2 n$
D) $\frac { n } { 2 }$
E) $n 2 ^ { n }$

Name: How many nth-order partial derivatives does a function of two variables have? A) $n ^ { 2 }$ B) $2 ^ { n }$ C) $2 n$ D) $\frac { n } { 2 }$ E) $n 2 ^ { n }$
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Question

Quizplus · Accepted Answer

A function of two variables has $2^n$ nth-order partial derivatives because each derivative can be taken with respect to either of the two variables, leading to $2^n$ combinations.

How Many Nth-Order Partial Derivatives Does a Function of Two n2n ^ { 2 }n2

How Many Nth-Order Partial Derivatives Does a Function of Two $n ^ { 2 }$