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How do you find the derivative of $f(x)=3$ using the limit process?

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Nov 19, 2016

The limit definition of the derivative takes a function $f$ and states its derivative equals $f'(x)=lim_(hrarr0)(f(x+h)-f(x))/h$ .

So, when $f(x)=3$ , we see that $f(x+h)=3$ as well, since $3$ is a constant with no variable.

Thus, $f'(x)=lim_(hrarr0)(3-3)/h=lim_(hrarr0)0/h=lim_(hrarr0)0=0$ .

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