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How do you use the definition of a derivative to find the derivative of $f (x) = 10$ $f(x) = 10$ ?

1 Answer

Konstantinos Michailidis

Mar 20, 2016

The definition of the derivative is

$f'(x)=lim_(x->x_o) [f(x)-f(x_o)]/[x-x_o]$

Hence for $f(x)=10$ we have that

$f'(x)=lim_(x->x_o) [10-10]/[x-x_o]=0$

Finally $f'(x)=0$

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