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derivative

 Definition/Summary The derivative of a function $y=f(x)$ is the rate of change of $y$ per change in $x$. It is denoted by $\frac{\mathrm dy}{\mathrm dx}$. Let $\Delta x$ be a change in $x$, and $\Delta y$ be the corresponding change in $y$ caused by the change in $x$. The derivative, in standard calculus, is defined as $$\lim_{\Delta x\rightarrow 0}\frac{\Delta y}{\Delta x}.$$ In nonstandard calculus, it is defined as $$\mbox{st}\left(\frac{\Delta y}{\Delta x}\right),$$ where st denotes the standard part function and $\Delta x$ is infinitesimal.

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 Hitarth @ 02:12 AM May14-12 Can i differentiate a three variable equation or function.

 Mark44 @ 08:18 PM Aug23-11 Completed the first sentence by adding x at the end.