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Using the limit definition, how do you differentiate $f(x) = x+3$ ?

1 Answer

Nov 5, 2015

$f'(x)=1$

Explanation:

By definition, $f'(x)=lim_(h->0)(f(x+h)-f(x))/h$

$=lim_(h->0)(((x+h)+3)-(x+3))/h$

$=lim_(h->0)h/h$

$=lim_(h->0)(1)=1$

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