Re: symbolic differentiation F(x,y,z) F(u,y,z) where u=x-y



In article
<11555761.1215471214534.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
lemaitre <laurent.lemaitre@xxxxxxxxxxxxx> wrote:

But I still have
some doubts on the consistency of the definition of ddx(F,u).

You are correct to have doubts. the partial derivative of F with
respect to u depends not only on u, but also on the identities of the
rest of the variables. A good multivariable calculus text should
explain this.

ddx(F,u)=ddx(F,x)-ddx(F,y).

Write down almost anything at random and you will see this does not
work.

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
.


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