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y=ch(ln(tg2x))+4x^3
Derivada de la función/ ln(tg2x)/ y=ch(ln(tg2x))+4x^3

Derivada de y=ch(ln(tg2x))+4x^3

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

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src] 
                         3
cosh(log(tan(2*x))) + 4*x
4x3+cosh⁡(log⁡(tan⁡(2x)))4 x^{3} + \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)} 
cosh(log(tan(2*x))) + 4*x^3
Gráfica
02468-8-6-4-2-1010-1000010000
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Trazar el gráfico f'(x)
Primera derivada [src] 
        /         2     \                    
    2   \2 + 2*tan (2*x)/*sinh(log(tan(2*x)))
12*x  + -------------------------------------
                       tan(2*x)
12x2+(2tan⁡2(2x)+2)sinh⁡(log⁡(tan⁡(2x)))tan⁡(2x)12 x^{2} + \frac{\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \sinh{\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     \                        /       2     \                     |
  |        /       2     \                       \1 + tan (2*x)/ *cosh(log(tan(2*x)))   \1 + tan (2*x)/ *sinh(log(tan(2*x)))|
4*|6*x + 2*\1 + tan (2*x)/*sinh(log(tan(2*x))) + ------------------------------------ - ------------------------------------|
  |                                                              2                                      2                   |
  \                                                           tan (2*x)                              tan (2*x)              /
4(6x−(tan⁡2(2x)+1)2sinh⁡(log⁡(tan⁡(2x)))tan⁡2(2x)+(tan⁡2(2x)+1)2cosh⁡(log⁡(tan⁡(2x)))tan⁡2(2x)+2(tan⁡2(2x)+1)sinh⁡(log⁡(tan⁡(2x))))4 \left(6 x - \frac{\left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \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)^{2} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{2}{\left(2 x \right)}} + 2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}\right)
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Tercera derivada [src] 
  /                     2                                        3                                        3                                                                                         2                    \
  |      /       2     \                          /       2     \                          /       2     \                                                                           /       2     \                     |
  |    4*\1 + tan (2*x)/ *sinh(log(tan(2*x)))   3*\1 + tan (2*x)/ *cosh(log(tan(2*x)))   3*\1 + tan (2*x)/ *sinh(log(tan(2*x)))     /       2     \                                6*\1 + tan (2*x)/ *cosh(log(tan(2*x)))|
8*|3 - -------------------------------------- - -------------------------------------- + -------------------------------------- + 4*\1 + tan (2*x)/*sinh(log(tan(2*x)))*tan(2*x) + --------------------------------------|
  |                   tan(2*x)                                   3                                        3                                                                                       tan(2*x)               |
  \                                                           tan (2*x)                                tan (2*x)                                                                                                         /
8(3(tan⁡2(2x)+1)3sinh⁡(log⁡(tan⁡(2x)))tan⁡3(2x)−3(tan⁡2(2x)+1)3cosh⁡(log⁡(tan⁡(2x)))tan⁡3(2x)−4(tan⁡2(2x)+1)2sinh⁡(log⁡(tan⁡(2x)))tan⁡(2x)+6(tan⁡2(2x)+1)2cosh⁡(log⁡(tan⁡(2x)))tan⁡(2x)+4(tan⁡2(2x)+1)tan⁡(2x)sinh⁡(log⁡(tan⁡(2x)))+3)8 \left(\frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{3} \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)^{3} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{3}{\left(2 x \right)}} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}} + \frac{6 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}} + 4 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)} + 3\right)
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Gráfico
Derivada de y=ch(ln(tg2x))+4x^3
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