Derivada de y=(1+x²)arctanx

Ha introducido [src]

/     2\        
\1 + x /*atan(x)

$$\left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}$$

(1 + x^2)*atan(x)

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

1 + 2*x*atan(x)

$$2 x \operatorname{atan}{\left(x \right)} + 1$$

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Segunda derivada [src]

  /  x             \
2*|------ + atan(x)|
  |     2          |
  \1 + x           /

$$2 \left(\frac{x}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}\right)$$

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3-я производная [src]

  /        2 \
  |     2*x  |
2*|2 - ------|
  |         2|
  \    1 + x /
--------------
         2    
    1 + x

$$\frac{2 \left(- \frac{2 x^{2}}{x^{2} + 1} + 2\right)}{x^{2} + 1}$$

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Tercera derivada [src]

  /        2 \
  |     2*x  |
2*|2 - ------|
  |         2|
  \    1 + x /
--------------
         2    
    1 + x

$$\frac{2 \left(- \frac{2 x^{2}}{x^{2} + 1} + 2\right)}{x^{2} + 1}$$

Simplificar

Gráfico