Sr Examen

Otras calculadoras

|x|^(π)
Derivada de la función/ |x|^(π)

Derivada de |x|^(π)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   pi
|x|
∣x∣π\left|{x}\right|^{\pi} 
|x|^pi
Gráfica
02468-8-6-4-2-1010-20002000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
      pi        
pi*|x|  *sign(x)
----------------
      |x|
π∣x∣πsign⁡(x)∣x∣\frac{\pi \left|{x}\right|^{\pi} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}
Simplificar
Segunda derivada [src] 
         /      2                               2   \
      pi |  sign (x)   2*DiracDelta(x)   pi*sign (x)|
pi*|x|  *|- -------- + --------------- + -----------|
         |      2            |x|               2    |
         \     x                              x     /
π(2δ(x)∣x∣−sign⁡2(x)x2+πsign⁡2(x)x2)∣x∣π\pi \left(\frac{2 \delta\left(x\right)}{\left|{x}\right|} - \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2}} + \frac{\pi \operatorname{sign}^{2}{\left(x \right)}}{x^{2}}\right) \left|{x}\right|^{\pi}
Simplificar
Tercera derivada [src] 
         /      2                                                              2        2     3             3                                \
      pi |2*sign (x)   2*DiracDelta(x, 1)   6*DiracDelta(x)*sign(x)   2*pi*sign (x)   pi *sign (x)   pi*sign (x)   6*pi*DiracDelta(x)*sign(x)|
pi*|x|  *|---------- + ------------------ - ----------------------- - ------------- + ------------ - ----------- + --------------------------|
         |     3              |x|                       2                    3            2              2                      2            |
         \    x                                        x                    x            x *|x|         x *|x|                 x             /
π(2δ(1)(x)∣x∣−6δ(x)sign⁡(x)x2+6πδ(x)sign⁡(x)x2−πsign⁡3(x)x2∣x∣+π2sign⁡3(x)x2∣x∣−2πsign⁡2(x)x3+2sign⁡2(x)x3)∣x∣π\pi \left(\frac{2 \delta^{\left( 1 \right)}\left( x \right)}{\left|{x}\right|} - \frac{6 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} + \frac{6 \pi \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} - \frac{\pi \operatorname{sign}^{3}{\left(x \right)}}{x^{2} \left|{x}\right|} + \frac{\pi^{2} \operatorname{sign}^{3}{\left(x \right)}}{x^{2} \left|{x}\right|} - \frac{2 \pi \operatorname{sign}^{2}{\left(x \right)}}{x^{3}} + \frac{2 \operatorname{sign}^{2}{\left(x \right)}}{x^{3}}\right) \left|{x}\right|^{\pi}
Simplificar
Gráfico
Derivada de |x|^(π)
    © Sr Examen – Калькулятор