Hi, everyone-(adsbygoogle = window.adsbygoogle || []).push({});

I have a quick question. When you solve for the derivative (as a linear transformation) using the limit definition of derivative, how does it go?

For example, let p_k be defined as the projection function from Rn to R, projecting onto kth coordinate of the input value.

lim _(h->0)=\frac{f(x+h)-f(x)}{h}=lim_(h->0)\frac{|h_k|}{h}=??

I see that the linear transformation of h is eqal to the numerator in this case (and that p_k is a linear transformation) but I thought that T had to depend upon x, not h...

Thanks!

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# Using limit definition of multivariable derivative

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