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y=tanh^2(x+1)+sech^2(x+1)
Derivada de la función/ y=tan/ (x+1)/ y=tanh^2(x+1)+sech^2(x+1)

Derivada de y=tanh^2(x+1)+sech^2(x+1)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
    2              2       
tanh (x + 1) + sech (x + 1)
tanh⁡2(x+1)+sech⁡2(x+1)\tanh^{2}{\left(x + 1 \right)} + \operatorname{sech}^{2}{\left(x + 1 \right)} 
tanh(x + 1)^2 + sech(x + 1)^2
Gráfica
02468-8-6-4-2-10102-1
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
/          2       \                     2                   
\2 - 2*tanh (x + 1)/*tanh(x + 1) - 2*sech (x + 1)*tanh(x + 1)
(2−2tanh⁡2(x+1))tanh⁡(x+1)−2tanh⁡(x+1)sech⁡2(x+1)\left(2 - 2 \tanh^{2}{\left(x + 1 \right)}\right) \tanh{\left(x + 1 \right)} - 2 \tanh{\left(x + 1 \right)} \operatorname{sech}^{2}{\left(x + 1 \right)}
Simplificar
Segunda derivada [src] 
  /                   2                                                                                                      \
  |/         2       \        2        /         2       \         2            2                2        /         2       \|
2*\\-1 + tanh (1 + x)/  + sech (1 + x)*\-1 + tanh (1 + x)/ + 2*sech (1 + x)*tanh (1 + x) + 2*tanh (1 + x)*\-1 + tanh (1 + x)//
2((tanh⁡2(x+1)−1)2+2(tanh⁡2(x+1)−1)tanh⁡2(x+1)+(tanh⁡2(x+1)−1)sech⁡2(x+1)+2tanh⁡2(x+1)sech⁡2(x+1))2 \left(\left(\tanh^{2}{\left(x + 1 \right)} - 1\right)^{2} + 2 \left(\tanh^{2}{\left(x + 1 \right)} - 1\right) \tanh^{2}{\left(x + 1 \right)} + \left(\tanh^{2}{\left(x + 1 \right)} - 1\right) \operatorname{sech}^{2}{\left(x + 1 \right)} + 2 \tanh^{2}{\left(x + 1 \right)} \operatorname{sech}^{2}{\left(x + 1 \right)}\right)
Simplificar
Tercera derivada [src] 
   /                     2                                                                                                    \            
   |  /         2       \        2            2              2        /         2       \         2        /         2       \|            
-8*\2*\-1 + tanh (1 + x)/  + sech (1 + x)*tanh (1 + x) + tanh (1 + x)*\-1 + tanh (1 + x)/ + 2*sech (1 + x)*\-1 + tanh (1 + x)//*tanh(1 + x)
−8(2(tanh⁡2(x+1)−1)2+(tanh⁡2(x+1)−1)tanh⁡2(x+1)+2(tanh⁡2(x+1)−1)sech⁡2(x+1)+tanh⁡2(x+1)sech⁡2(x+1))tanh⁡(x+1)- 8 \left(2 \left(\tanh^{2}{\left(x + 1 \right)} - 1\right)^{2} + \left(\tanh^{2}{\left(x + 1 \right)} - 1\right) \tanh^{2}{\left(x + 1 \right)} + 2 \left(\tanh^{2}{\left(x + 1 \right)} - 1\right) \operatorname{sech}^{2}{\left(x + 1 \right)} + \tanh^{2}{\left(x + 1 \right)} \operatorname{sech}^{2}{\left(x + 1 \right)}\right) \tanh{\left(x + 1 \right)}
Simplificar
Gráfico
Derivada de y=tanh^2(x+1)+sech^2(x+1)
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