Hi, I need help on the following: Let be defined by . Prove that it is differentiable at . I know the partial derivatives exist at . Thanks
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Originally Posted by storchfire1X Hi, I need help on the following: Let be defined by . Prove that it is differentiable at . I know the partial derivatives exist at . Thanks So the derivative is going to be a 2 by 2 matrix. If you evaluate this at zero we get Now you need to calculate the limit and show that it is equal to zero! Where This should get you started.
Last edited by TheEmptySet; May 9th 2011 at 09:51 PM. Reason: missing magnitude symbol
Originally Posted by storchfire1X Hi, I need help on the following: Let be defined by . Prove that it is differentiable at . I know the partial derivatives exist at . Thanks You can also use the fact that if exist and are continuous on a neighborhood of then is differentiable there and .
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