Question

Simplifique F(x+h)-F(x)/h sendo (h<>0) sendo F(x) igual a

1/x

Answer 1

sendo f(x) = 1 / x

$\frac{f(x +h) - f(x)}{h}$

$\frac{( \frac{1}{x +h}) - \frac{1}{x} }{h}$

$\frac{1}{h(x+h)} - \frac{1}{xh}$

$\frac{xh - xh - h^2}{x h^{2}(x+h) }$

=  $\frac{-1}{x(x+h)}$