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| ``help: a proof about uniformly partiallly differentiaable''
by nusjinxin on 2008-09-04 14:50:35 |
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| I faced a problem:
f:U-->R is uniformly partiallly differentiaable at a , i.e.,
for any epsilon, there exists a delta so that:
|[f(a+tu)-f(a)]/t-Dfu(a)|<=epsilon
for all u belongs to Rn and ||u||=1 and all t with 0<|t|<delta.
show that f is diffentiable at a
*Dfu(a) is the patial dirivative of f in the direction of u.
I got a proof but I am not confident in it because this kind of basic concept problem need to be very accurate..but I am quite confused about some symbol and concept . |
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