Sr Examen

Derivada de y=e^tcost,x=e^-tcost

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
  t           
(E *cos(t), x)
t (E *cos(t), x)
(E^t*cos(t), x)
Primera derivada [src]
d /  t           \
--\(E *cos(t), x)/
dx                
$$\frac{\partial}{\partial x} \left( e^{t} \cos{\left(t \right)}, \ x\right)$$
Segunda derivada [src]
  2                
 d /  t           \
---\(E *cos(t), x)/
  2                
dx                 
$$\frac{\partial^{2}}{\partial x^{2}} \left( e^{t} \cos{\left(t \right)}, \ x\right)$$
Tercera derivada [src]
  3                
 d /  t           \
---\(E *cos(t), x)/
  3                
dx                 
$$\frac{\partial^{3}}{\partial x^{3}} \left( e^{t} \cos{\left(t \right)}, \ x\right)$$