anonymous
  • anonymous
If mixed partial derivatives are the same, this means that functions of this derivatives are continuous. Does this mean that also a function f is continuous in the same point?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
So, if derivatives are continuous in some point , there must be continuous also function?
JamesJ
  • JamesJ
If the partial derivatives of a function \[ f : \mathbb{R}^n \rightarrow \mathbb{R}^m \] exist and are continuous at a point p, then the function is differentiable at p. If the function f is differentiable at p, then it is continuous at p.
anonymous
  • anonymous
so this is true

Looking for something else?

Not the answer you are looking for? Search for more explanations.