Respuesta :

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]

If [tex]f(x)=7[/tex], then

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{7-7}h=0[/tex]

which is what you expect from a constant function.