Finding the derivative of f(x)=5 using the limit process

+1

(1) Answers

Coltman208

[latex]f(x)=5[/latex]
[latex]f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h=\lim_{h\to0}\frac{5-5}h=\lim_{h\to0}\frac0h=0[/latex]
which is to be expected - a constant function never changes, so its derivative must be zero everywhere.