Question

 calcular a derivada

ln(5x-7)

Answer 1

Derivada imediata:

$y=ln \ u \Rightarrow y'=\frac{1}{u}u'\\ \\ Neste \ caso:\\ \\ u=5x-7\\ \\ u'=5\\ \\ \boxed{y'=\frac{1}{5x-7}.5=\frac{5}{5x-7}+C}$