(adsbygoogle = window.adsbygoogle || []).push({}); f(x) = c => f'(x) = 0 ??

Hi again! Now I can't understand [itex]f(x) = c\Rightarrow f'(x) = 0[/itex], where c is a constant. I think I should be undefined.

y = c

[itex]\Delta x[/itex]= c

[tex]\frac{\Delta y}{\Delta x} = \frac{c}{\Delta x}[/tex]

[tex]st(\frac{c}{\Delta x}) = Undefined [/tex]

What am I doing wrong this time?

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# F(x) = c => f'(x) = 0 ?

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