Sr Examen

Otras calculadoras

Derivada de la función/ |x-t|

Derivada de |x-t|

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
|x - t|
∣−t+x∣\left|{- t + x}\right| 
|x - t|
Primera derivada [src] 
(t - re(x))*sign(t - x)
-----------------------
         t - x
(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}
Simplificar
Segunda derivada [src] 
            d                 (t - re(x))*sign(t - x)              
(t - re(x))*--(sign(t - x)) - ----------------------- + sign(t - x)
            dt                         t - x                       
-------------------------------------------------------------------
                               t - x
(t−re⁡(x))∂∂tsign⁡(t−x)+sign⁡(t−x)−(t−re⁡(x))sign⁡(t−x)t−xt−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}
Simplificar
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
(t−re⁡(x))∂2∂t2sign⁡(t−x)+2∂∂tsign⁡(t−x)−2(t−re⁡(x))∂∂tsign⁡(t−x)t−x−2sign⁡(t−x)t−x+2(t−re⁡(x))sign⁡(t−x)(t−x)2t−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}
Simplificar
    © Sr Examen – Калькулятор