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y=sh(ln(tg2x))
Derivada de la función/ ln(tg2x)/ y=sh(ln(tg2x))

Derivada de y=sh(ln(tg2x))

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
sinh(log(tan(2*x)))
sinh⁡(log⁡(tan⁡(2x)))\sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)} 
sinh(log(tan(2*x)))
Gráfica
02468-8-6-4-2-1010-25002500
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Trazar el gráfico f'(x)
Primera derivada [src] 
/         2     \                    
\2 + 2*tan (2*x)/*cosh(log(tan(2*x)))
-------------------------------------
               tan(2*x)
(2tan⁡2(2x)+2)cosh⁡(log⁡(tan⁡(2x)))tan⁡(2x)\frac{\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}}
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Segunda derivada [src] 
                  /                        /       2     \                       /       2     \                    \
  /       2     \ |                        \1 + tan (2*x)/*sinh(log(tan(2*x)))   \1 + tan (2*x)/*cosh(log(tan(2*x)))|
4*\1 + tan (2*x)/*|2*cosh(log(tan(2*x))) + ----------------------------------- - -----------------------------------|
                  |                                        2                                     2                  |
                  \                                     tan (2*x)                             tan (2*x)             /
4(tan⁡2(2x)+1)((tan⁡2(2x)+1)sinh⁡(log⁡(tan⁡(2x)))tan⁡2(2x)−(tan⁡2(2x)+1)cosh⁡(log⁡(tan⁡(2x)))tan⁡2(2x)+2cosh⁡(log⁡(tan⁡(2x))))4 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(\frac{\left(\tan^{2}{\left(2 x \right)} + 1\right) \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{2}{\left(2 x \right)}} - \frac{\left(\tan^{2}{\left(2 x \right)} + 1\right) \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{2}{\left(2 x \right)}} + 2 \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}\right)
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Tercera derivada [src] 
                  /                                                                                          2                                        2                                                            \
                  |                                   /       2     \                         /       2     \                          /       2     \                          /       2     \                    |
  /       2     \ |                                 4*\1 + tan (2*x)/*cosh(log(tan(2*x)))   3*\1 + tan (2*x)/ *sinh(log(tan(2*x)))   3*\1 + tan (2*x)/ *cosh(log(tan(2*x)))   6*\1 + tan (2*x)/*sinh(log(tan(2*x)))|
8*\1 + tan (2*x)/*|4*cosh(log(tan(2*x)))*tan(2*x) - ------------------------------------- - -------------------------------------- + -------------------------------------- + -------------------------------------|
                  |                                                tan(2*x)                                  3                                        3                                      tan(2*x)              |
                  \                                                                                       tan (2*x)                                tan (2*x)                                                       /
8(tan⁡2(2x)+1)(−3(tan⁡2(2x)+1)2sinh⁡(log⁡(tan⁡(2x)))tan⁡3(2x)+3(tan⁡2(2x)+1)2cosh⁡(log⁡(tan⁡(2x)))tan⁡3(2x)+6(tan⁡2(2x)+1)sinh⁡(log⁡(tan⁡(2x)))tan⁡(2x)−4(tan⁡2(2x)+1)cosh⁡(log⁡(tan⁡(2x)))tan⁡(2x)+4tan⁡(2x)cosh⁡(log⁡(tan⁡(2x))))8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(- \frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{3}{\left(2 x \right)}} + \frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{3}{\left(2 x \right)}} + \frac{6 \left(\tan^{2}{\left(2 x \right)} + 1\right) \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right) \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}} + 4 \tan{\left(2 x \right)} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}\right)
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Gráfico
Derivada de y=sh(ln(tg2x))
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