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Derivada de la función/ |x-t|

Derivada de |x-t|

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

Ha introducido [src] 
|x - t|
$$\left|{- t + x}\right|$$ 
|x - t|
Primera derivada [src] 
(t - re(x))*sign(t - x)
-----------------------
         t - x
$$\frac{\left(t - \operatorname{re}{\left(x\right)}\right) \operatorname{sign}{\left(t - x \right)}}{t - x}$$
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Segunda derivada [src] 
            d                 (t - re(x))*sign(t - x)              
(t - re(x))*--(sign(t - x)) - ----------------------- + sign(t - x)
            dt                         t - x                       
-------------------------------------------------------------------
                               t - x
$$\frac{\left(t - \operatorname{re}{\left(x\right)}\right) \frac{\partial}{\partial t} \operatorname{sign}{\left(t - x \right)} + \operatorname{sign}{\left(t - x \right)} - \frac{\left(t - \operatorname{re}{\left(x\right)}\right) \operatorname{sign}{\left(t - x \right)}}{t - x}}{t - x}$$
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Tercera derivada [src] 
                                                                                 d                                          
                                  2                                2*(t - re(x))*--(sign(t - x))                            
  d                              d                 2*sign(t - x)                 dt                2*(t - re(x))*sign(t - x)
2*--(sign(t - x)) + (t - re(x))*---(sign(t - x)) - ------------- - ----------------------------- + -------------------------
  dt                              2                    t - x                   t - x                               2        
                                dt                                                                          (t - x)         
----------------------------------------------------------------------------------------------------------------------------
                                                           t - x
$$\frac{\left(t - \operatorname{re}{\left(x\right)}\right) \frac{\partial^{2}}{\partial t^{2}} \operatorname{sign}{\left(t - x \right)} + 2 \frac{\partial}{\partial t} \operatorname{sign}{\left(t - x \right)} - \frac{2 \left(t - \operatorname{re}{\left(x\right)}\right) \frac{\partial}{\partial t} \operatorname{sign}{\left(t - x \right)}}{t - x} - \frac{2 \operatorname{sign}{\left(t - x \right)}}{t - x} + \frac{2 \left(t - \operatorname{re}{\left(x\right)}\right) \operatorname{sign}{\left(t - x \right)}}{\left(t - x\right)^{2}}}{t - x}$$
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