Sr Examen

Otras calculadoras


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)
$$\tanh^{2}{\left(x + 1 \right)} + \operatorname{sech}^{2}{\left(x + 1 \right)}$$
tanh(x + 1)^2 + sech(x + 1)^2
Gráfica
Primera derivada [src]
/          2       \                     2                   
\2 - 2*tanh (x + 1)/*tanh(x + 1) - 2*sech (x + 1)*tanh(x + 1)
$$\left(2 - 2 \tanh^{2}{\left(x + 1 \right)}\right) \tanh{\left(x + 1 \right)} - 2 \tanh{\left(x + 1 \right)} \operatorname{sech}^{2}{\left(x + 1 \right)}$$
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)//
$$2 \left(\left(\tanh^{2}{\left(x + 1 \right)} - 1\right)^{2} + 2 \left(\tanh^{2}{\left(x + 1 \right)} - 1\right) \tanh^{2}{\left(x + 1 \right)} + \left(\tanh^{2}{\left(x + 1 \right)} - 1\right) \operatorname{sech}^{2}{\left(x + 1 \right)} + 2 \tanh^{2}{\left(x + 1 \right)} \operatorname{sech}^{2}{\left(x + 1 \right)}\right)$$
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)
$$- 8 \left(2 \left(\tanh^{2}{\left(x + 1 \right)} - 1\right)^{2} + \left(\tanh^{2}{\left(x + 1 \right)} - 1\right) \tanh^{2}{\left(x + 1 \right)} + 2 \left(\tanh^{2}{\left(x + 1 \right)} - 1\right) \operatorname{sech}^{2}{\left(x + 1 \right)} + \tanh^{2}{\left(x + 1 \right)} \operatorname{sech}^{2}{\left(x + 1 \right)}\right) \tanh{\left(x + 1 \right)}$$
Gráfico
Derivada de y=tanh^2(x+1)+sech^2(x+1)