Sr Examen

Derivada de y=x^2sechx

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
 2        
x *sech(x)
$$x^{2} \operatorname{sech}{\left(x \right)}$$
x^2*sech(x)
Gráfica
Primera derivada [src]
               2                
2*x*sech(x) - x *sech(x)*tanh(x)
$$- x^{2} \tanh{\left(x \right)} \operatorname{sech}{\left(x \right)} + 2 x \operatorname{sech}{\left(x \right)}$$
Segunda derivada [src]
/     2 /           2   \              \        
\2 + x *\-1 + 2*tanh (x)/ - 4*x*tanh(x)/*sech(x)
$$\left(x^{2} \left(2 \tanh^{2}{\left(x \right)} - 1\right) - 4 x \tanh{\left(x \right)} + 2\right) \operatorname{sech}{\left(x \right)}$$
Tercera derivada [src]
/                 /           2   \    2 /           2   \        \        
\-6*tanh(x) + 6*x*\-1 + 2*tanh (x)/ - x *\-5 + 6*tanh (x)/*tanh(x)/*sech(x)
$$\left(- x^{2} \left(6 \tanh^{2}{\left(x \right)} - 5\right) \tanh{\left(x \right)} + 6 x \left(2 \tanh^{2}{\left(x \right)} - 1\right) - 6 \tanh{\left(x \right)}\right) \operatorname{sech}{\left(x \right)}$$
Gráfico
Derivada de y=x^2sechx