f(x)=arctan(3x)

Perguntas Frequentes

• Encontre o inverso $f(x)=\arctan (3x)$

  

  $$f^{-1}\left(x\right)=\frac{\tan \left(x\right)}{3}$$

• Calcule a derivada $f(x)=\arctan (3x)$

  

  $$f^{\prime }\left(x\right)=\frac{3}{1+9x^2}$$

• Encontre o domínio $f(x)=\arctan (3x)$

  

  $$x\in \mathbb{R}$$

• $\text{Encontre a interceptac¸a˜o }x\text{ / zero}$ $f(x)=\arctan (3x)$

  

  $$x=0$$

• Encontre a interceptação y $f(x)=\arctan (3x)$

  

  $$f\left(0\right)=0$$

• Encontre as assíntotas verticais $f(x)=\arctan (3x)$

  

  $$\text{Sem assıˊntotas verticais}$$

• Encontre as assíntotas horizontais $f(x)=\arctan (3x)$

  

  $$\begin{array}{rl}& f\left(x\right)=\frac{\pi }{2}\\ & f\left(x\right)=-\frac{\pi }{2}\end{array}$$

• Encontre as assíntotas oblíquas $f(x)=\arctan (3x)$

  

  $$\text{Sem assıˊntotas oblıˊquas}$$