Derivada de y=2^xarctgx

Ha introducido [src]

 x        
2 *atan(x)

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

2^x*atan(x)

Gráfica

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Trazar el gráfico f'(x)

Primera derivada [src]

   x                      
  2       x               
------ + 2 *atan(x)*log(2)
     2                    
1 + x

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

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Segunda derivada [src]

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

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

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Tercera derivada [src]

   /                    /         2 \                         \
   |                    |      4*x  |                         |
   |                  2*|-1 + ------|                         |
   |                    |          2|        2                |
 x |   3                \     1 + x /   3*log (2)   6*x*log(2)|
2 *|log (2)*atan(x) + --------------- + --------- - ----------|
   |                             2             2            2 |
   |                     /     2\         1 + x     /     2\  |
   \                     \1 + x /                   \1 + x /  /

$$2^{x} \left(- \frac{6 x \log{\left(2 \right)}}{\left(x^{2} + 1\right)^{2}} + \log{\left(2 \right)}^{3} \operatorname{atan}{\left(x \right)} + \frac{3 \log{\left(2 \right)}^{2}}{x^{2} + 1} + \frac{2 \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}}\right)$$

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Gráfico

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Derivada de y=2^xarctgx

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