Olá!
\(\mathsf{\dfrac{f(x) - f(1)}{x - 1} =}\)
\(\mathsf{\dfrac{\dfrac{x + 3}{x + 1} - \dfrac{1 + 3}{1 + 1}}{x - 1} =}\)
\(\mathsf{\dfrac{\dfrac{x + 3}{x + 1} - \dfrac{4}{2}}{x - 1} =}\)
\(\mathsf{\dfrac{\dfrac{x + 3}{x + 1} - 2}{x - 1} =}\)
\(\mathsf{\dfrac{\dfrac{x + 3 - 2(x + 1)}{x + 1}}{x - 1} =}\)
\(\mathsf{\dfrac{x + 3 - 2(x + 1)}{x + 1} \div (x - 1) =}\)
\(\mathsf{\dfrac{x + 3 - 2x - 2}{x + 1} \cdot \dfrac{1}{(x - 1)} =}\)
\(\mathsf{\dfrac{- x + 1}{x + 1} \cdot \dfrac{1}{x - 1} =}\)
\(\mathsf{\dfrac{- 1 \cdot (x - 1)}{x + 1} \cdot \dfrac{1}{x - 1} =}\)
\(\mathsf{\dfrac{- 1 \cdot \diagup\!\!\!\!\!{(x - 1)}}{x + 1} \cdot \dfrac{1}{\diagup\!\!\!\!\!{(x - 1)}} =}\)
\(\boxed{\mathsf{- \frac{1}{x + 1}}}\)
Editado pela última vez por
danjr5 em 18 Oct 2020, 13:25, num total de 1 vez.
Razão: Corrigir LaTeX