Question

simplifique f(x)-f(p)/x-p sendo f(x)= 1/x e p#0

Answer 1

$\frac{f(x)-f(p)}{x-p} = \frac{ \frac{1}{x} - \frac{1}{p} }{x-p} = \frac{ \frac{p-x}{xp} }{x-p} \\ = \frac{ \frac{-(x-p)}{xp} }{x-p} = \frac{ -\frac{1}{xp} }{1} = -\frac{1}{xp}$