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y=sech(√1+2x)csch(√1+2x)
Derivada de la función/ y=sech/ y=sech(√1+2x)csch(√1+2x)

Derivada de y=sech(√1+2x)csch(√1+2x)

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

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src] 
    /  ___      \     /  ___      \
sech\\/ 1  + 2*x/*csch\\/ 1  + 2*x/
csch⁡(2x+1)sech⁡(2x+1)\operatorname{csch}{\left(2 x + \sqrt{1} \right)} \operatorname{sech}{\left(2 x + \sqrt{1} \right)} 
sech(sqrt(1) + 2*x)*csch(sqrt(1) + 2*x)
Gráfica
02468-8-6-4-2-1010-2000020000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
        /  ___      \     /  ___      \     /  ___      \         /  ___      \     /  ___      \     /  ___      \
- 2*coth\\/ 1  + 2*x/*csch\\/ 1  + 2*x/*sech\\/ 1  + 2*x/ - 2*csch\\/ 1  + 2*x/*sech\\/ 1  + 2*x/*tanh\\/ 1  + 2*x/
−2tanh⁡(2x+1)csch⁡(2x+1)sech⁡(2x+1)−2coth⁡(2x+1)csch⁡(2x+1)sech⁡(2x+1)- 2 \tanh{\left(2 x + \sqrt{1} \right)} \operatorname{csch}{\left(2 x + \sqrt{1} \right)} \operatorname{sech}{\left(2 x + \sqrt{1} \right)} - 2 \coth{\left(2 x + \sqrt{1} \right)} \operatorname{csch}{\left(2 x + \sqrt{1} \right)} \operatorname{sech}{\left(2 x + \sqrt{1} \right)}
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Segunda derivada [src] 
  /         2                  1                2                                         \                            
4*|-1 + coth (1 + 2*x) + -------------- + 2*tanh (1 + 2*x) + 2*coth(1 + 2*x)*tanh(1 + 2*x)|*csch(1 + 2*x)*sech(1 + 2*x)
  |                          2                                                            |                            
  \                      sinh (1 + 2*x)                                                   /
4(2tanh⁡2(2x+1)+2tanh⁡(2x+1)coth⁡(2x+1)+coth⁡2(2x+1)−1+1sinh⁡2(2x+1))csch⁡(2x+1)sech⁡(2x+1)4 \left(2 \tanh^{2}{\left(2 x + 1 \right)} + 2 \tanh{\left(2 x + 1 \right)} \coth{\left(2 x + 1 \right)} + \coth^{2}{\left(2 x + 1 \right)} - 1 + \frac{1}{\sinh^{2}{\left(2 x + 1 \right)}}\right) \operatorname{csch}{\left(2 x + 1 \right)} \operatorname{sech}{\left(2 x + 1 \right)}
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Tercera derivada [src] 
   /    3            /           2         \                 2*cosh(1 + 2*x)   3*coth(1 + 2*x)     /           2         \                   /    2                  1       \              \                            
-8*|coth (1 + 2*x) + \-5 + 6*tanh (1 + 2*x)/*tanh(1 + 2*x) + --------------- + --------------- + 3*\-1 + 2*tanh (1 + 2*x)/*coth(1 + 2*x) + 3*|coth (1 + 2*x) + --------------|*tanh(1 + 2*x)|*csch(1 + 2*x)*sech(1 + 2*x)
   |                                                              3                 2                                                        |                     2         |              |                            
   \                                                          sinh (1 + 2*x)    sinh (1 + 2*x)                                               \                 sinh (1 + 2*x)/              /
−8(3(2tanh⁡2(2x+1)−1)coth⁡(2x+1)+(6tanh⁡2(2x+1)−5)tanh⁡(2x+1)+3(coth⁡2(2x+1)+1sinh⁡2(2x+1))tanh⁡(2x+1)+coth⁡3(2x+1)+3coth⁡(2x+1)sinh⁡2(2x+1)+2cosh⁡(2x+1)sinh⁡3(2x+1))csch⁡(2x+1)sech⁡(2x+1)- 8 \left(3 \left(2 \tanh^{2}{\left(2 x + 1 \right)} - 1\right) \coth{\left(2 x + 1 \right)} + \left(6 \tanh^{2}{\left(2 x + 1 \right)} - 5\right) \tanh{\left(2 x + 1 \right)} + 3 \left(\coth^{2}{\left(2 x + 1 \right)} + \frac{1}{\sinh^{2}{\left(2 x + 1 \right)}}\right) \tanh{\left(2 x + 1 \right)} + \coth^{3}{\left(2 x + 1 \right)} + \frac{3 \coth{\left(2 x + 1 \right)}}{\sinh^{2}{\left(2 x + 1 \right)}} + \frac{2 \cosh{\left(2 x + 1 \right)}}{\sinh^{3}{\left(2 x + 1 \right)}}\right) \operatorname{csch}{\left(2 x + 1 \right)} \operatorname{sech}{\left(2 x + 1 \right)}
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Gráfico
Derivada de y=sech(√1+2x)csch(√1+2x)
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