Question

Hallar la derivada de

F(x)=ln[arc tg(x)]

Answer 1

Respuesta:

y' = 1 / (x² + 1)(arc tan(x))

Explicación paso a paso:

y = ln(arc tan(x)

y' = (arc tan(x) '  x  1 / (arc tan(x))

y' = 1 / (x² + 1) x  1 / (arc tan(x))

y' = 1 / (x² + 1)(arc tan(x))