# `f(x) = 4/sqrt(4)` Find the derivative of the function by the limit process.

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Expert Answers

hkj1385 | Certified Educator

By limit process, the derivative of a function f(x) is :-

`f'(x) = lim_(h -> 0) [{f(x+h) - f(x)}/h]`

Now, the given function is :-

`f(x) = 4/sqrt(4)`

Thus, `f'(x) =lim_(h -> 0) [{f(x+h) - f(x)}/h]`

or, `f'(x) = lim_(h -> 0) [ {(4/sqrt(4)) - (4/sqrt(4))}/h] = [0/h] = 0`