My Math Forum Notations of (partial) derivatives

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 June 8th, 2013, 03:09 AM #1 Member   Joined: Apr 2013 Posts: 42 Thanks: 1 Notations of (partial) derivatives What is exactly the difference between $\frac{df}{dx}$ and $\frac{\delta f}{\delta x}$. And is the notation $F_{x}(x,y,z(x,y)))$ the same as the delta or the d notation? For example: $z=f(x,y)=x^{2}+2y$ and $y(x)=x^{3}$. Is it then true that with the delta notation you only differentiate f with respect to x and with the d notation you have to take in mind that y is also dependent on x? So, $\frac{\delta f}{\delta x}=2x$ and $\frac{df}{dx}=2x+2y#39;=2x+6x^{2}$? And what is $F_{x}(x,y,z(x,y)))$ in this example? It is not really clear to me....
June 8th, 2013, 11:37 AM   #2
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Re: Notations of (partial) derivatives

We use delta when we have function which depends on more variables, and d when it depends on just one variable. d is total diferential and delta is partial diferential. If function f depends on x and y we have [attachment=0:j2gauz4e]PrtScr capture_4.jpg[/attachment:j2gauz4e].
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