- #1
allistair
- 20
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I'm not entirely sure what the english terms are for some of the things I'm about to say but i hope it's clear what I mean exactly. I'n my handbook the theorom is said to be:
Say G is a part (wich is open) of R^n, f and g are functions from G to R (f:G->R, g:G->R) and both are differentiable (and the differential is continues). If f(p)=0, Df(p)#0 and g has an extremum on p (f^-1(0)) then there is a delta (element of R) for which you can write: Dg(p)=delta*Df(p)
But if g has an extremum on p then wouldn't Dg(p) = 0?
thx in advance
Say G is a part (wich is open) of R^n, f and g are functions from G to R (f:G->R, g:G->R) and both are differentiable (and the differential is continues). If f(p)=0, Df(p)#0 and g has an extremum on p (f^-1(0)) then there is a delta (element of R) for which you can write: Dg(p)=delta*Df(p)
But if g has an extremum on p then wouldn't Dg(p) = 0?
thx in advance