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Derivada de x=ln(sint),y=sint

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
(log(sin(t)), y)
(log(sin(t)), y)
(log(sin(t)), y)
Primera derivada [src]
d                   
--((log(sin(t)), y))
dy                  
$$\frac{\partial}{\partial y} \left( \log{\left(\sin{\left(t \right)} \right)}, \ y\right)$$
Segunda derivada [src]
  2                  
 d                   
---((log(sin(t)), y))
  2                  
dy                   
$$\frac{\partial^{2}}{\partial y^{2}} \left( \log{\left(\sin{\left(t \right)} \right)}, \ y\right)$$
Tercera derivada [src]
  3                  
 d                   
---((log(sin(t)), y))
  3                  
dy                   
$$\frac{\partial^{3}}{\partial y^{3}} \left( \log{\left(\sin{\left(t \right)} \right)}, \ y\right)$$