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I was told that the general definition of a derivative is

[tex]f'(x) = \lim_{\Delta x \rightarrow 0} \frac{\Delta y}{\Delta x}[/tex]

(supposed to be delta y over delta x, but I can't make the latex work )

but why can't it work when [itex]\Delta y \rightarrow 0[/itex]?

[tex]f'(x) = \lim_{\Delta x \rightarrow 0} \frac{\Delta y}{\Delta x}[/tex]

(supposed to be delta y over delta x, but I can't make the latex work )

but why can't it work when [itex]\Delta y \rightarrow 0[/itex]?

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