Assertion: partial derivative | /r/HasProperty | continuous
Facets:
Source sentences:
text: If all the partial derivatives of f exist and are continuous at x, then they determine the directional derivative of f in the direction v by the formula:
text: The existence of the total derivative f′(a) is strictly stronger than the existence of all the partial derivatives, but if the partial derivatives exist and are continuous, then the total derivative exists, is given by the Jacobian, and depends continuously on a.