What is the derivative of $f (x) = 5$ $f(x)=5$ ?

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Answer 1 · 2016-10-28T17:42:18

The derivative of $f (x) = 5$ $f(x)=5$ is $0$ $0$ .

We can calculate the derivative using the definition:

$f'(x_0)=lim_{h->0}(f(x_0+h)-f(x_0))/h$

$f'(x)=lim_{h->0}(5-5)/h=lim_{h->0}0/h=0$

What is the derivative of f(x)=5f(x)=5f(x)=5?