# Chapter 14 - Partial Derivatives - Review - True-False Quiz - Page 1022: 6

False

#### Work Step by Step

For $F$ to be differentiable at $(a,b)$ it is not enough to say that $f_{x}(a, b)$ and $f_{y}(a, b)$ both exist, however, they must both also be continuous at $(a, b)$. Hence, the statement is false.

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