Sr Examen

Derivada de y=sinhx³

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
    3   
sinh (x)
$$\sinh^{3}{\left(x \right)}$$
sinh(x)^3
Gráfica
Primera derivada [src]
      2           
3*sinh (x)*cosh(x)
$$3 \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}$$
Segunda derivada [src]
  /    2            2   \        
3*\sinh (x) + 2*cosh (x)/*sinh(x)
$$3 \left(\sinh^{2}{\left(x \right)} + 2 \cosh^{2}{\left(x \right)}\right) \sinh{\left(x \right)}$$
Tercera derivada [src]
  /      2            2   \        
3*\2*cosh (x) + 7*sinh (x)/*cosh(x)
$$3 \left(7 \sinh^{2}{\left(x \right)} + 2 \cosh^{2}{\left(x \right)}\right) \cosh{\left(x \right)}$$
Gráfico
Derivada de y=sinhx³