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

1 Answer

Apr 21, 2016

$f'(x) = 1$

Explanation:

Applying the limit definition of the derivative , we have:

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

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

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

$=lim_(h->0)1$

$=1$

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