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y=arctg2x*tg2^x
Derivada de la función/ ctg2x/ x*tg2/ arctg/ y=arctg2x*tg2^x

Derivada de y=arctg2x*tg2^x

Función f() - derivada -er orden en el punto
v

Gráfico:

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Solución

Ha introducido [src] 
             x   
atan(2*x)*tan (2)
tan⁡x(2)atan⁡(2x)\tan^{x}{\left(2 \right)} \operatorname{atan}{\left(2 x \right)} 
atan(2*x)*tan(2)^x
Gráfica
02468-8-6-4-2-1010-50005000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
     x                                             
2*tan (2)      x                                   
--------- + tan (2)*(pi*I + log(-tan(2)))*atan(2*x)
        2                                          
 1 + 4*x
(log⁡(−tan⁡(2))+iπ)tan⁡x(2)atan⁡(2x)+2tan⁡x(2)4x2+1\left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right) \tan^{x}{\left(2 \right)} \operatorname{atan}{\left(2 x \right)} + \frac{2 \tan^{x}{\left(2 \right)}}{4 x^{2} + 1}
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Segunda derivada [src] 
   x    /                     2                 16*x      4*(pi*I + log(-tan(2)))\
tan (2)*|(pi*I + log(-tan(2))) *atan(2*x) - ----------- + -----------------------|
        |                                             2                  2       |
        |                                   /       2\            1 + 4*x        |
        \                                   \1 + 4*x /                           /
(−16x(4x2+1)2+(log⁡(−tan⁡(2))+iπ)2atan⁡(2x)+4(log⁡(−tan⁡(2))+iπ)4x2+1)tan⁡x(2)\left(- \frac{16 x}{\left(4 x^{2} + 1\right)^{2}} + \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2} \operatorname{atan}{\left(2 x \right)} + \frac{4 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)}{4 x^{2} + 1}\right) \tan^{x}{\left(2 \right)}
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Tercera derivada [src] 
        /                                                                 /          2  \                             \
        |                                                                 |      16*x   |                             |
        |                                                              16*|-1 + --------|                             |
        |                                                          2      |            2|                             |
   x    |                     3             6*(pi*I + log(-tan(2)))       \     1 + 4*x /   48*x*(pi*I + log(-tan(2)))|
tan (2)*|(pi*I + log(-tan(2))) *atan(2*x) + ------------------------ + ------------------ - --------------------------|
        |                                                  2                        2                        2        |
        |                                           1 + 4*x               /       2\               /       2\         |
        \                                                                 \1 + 4*x /               \1 + 4*x /         /
(−48x(log⁡(−tan⁡(2))+iπ)(4x2+1)2+(log⁡(−tan⁡(2))+iπ)3atan⁡(2x)+6(log⁡(−tan⁡(2))+iπ)24x2+1+16(16x24x2+1−1)(4x2+1)2)tan⁡x(2)\left(- \frac{48 x \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)}{\left(4 x^{2} + 1\right)^{2}} + \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{3} \operatorname{atan}{\left(2 x \right)} + \frac{6 \left(\log{\left(- \tan{\left(2 \right)} \right)} + i \pi\right)^{2}}{4 x^{2} + 1} + \frac{16 \left(\frac{16 x^{2}}{4 x^{2} + 1} - 1\right)}{\left(4 x^{2} + 1\right)^{2}}\right) \tan^{x}{\left(2 \right)}
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Gráfico
Derivada de y=arctg2x*tg2^x
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