Sr Examen

Otras calculadoras

Derivada de la función/ |x|sin(-a|x|)

Derivada de |x|sin(-a|x|)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
|x|*sin(-a*|x|)
sin⁡(−a∣x∣)∣x∣\sin{\left(- a \left|{x}\right| \right)} \left|{x}\right| 
|x|*sin((-a)*|x|)
Primera derivada [src] 
sign(x)*sin(-a*|x|) - a*|x|*cos(-(-a)*|x|)*sign(x)
−acos⁡(−−a∣x∣)∣x∣sign⁡(x)+sin⁡(−a∣x∣)sign⁡(x)- a \cos{\left(- - a \left|{x}\right| \right)} \left|{x}\right| \operatorname{sign}{\left(x \right)} + \sin{\left(- a \left|{x}\right| \right)} \operatorname{sign}{\left(x \right)}
Simplificar
Segunda derivada [src] 
                                /                                    2              \               2              
-2*DiracDelta(x)*sin(a*|x|) + a*\-2*DiracDelta(x)*cos(a*|x|) + a*sign (x)*sin(a*|x|)/*|x| - 2*a*sign (x)*cos(a*|x|)
a(asin⁡(a∣x∣)sign⁡2(x)−2cos⁡(a∣x∣)δ(x))∣x∣−2acos⁡(a∣x∣)sign⁡2(x)−2sin⁡(a∣x∣)δ(x)a \left(a \sin{\left(a \left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} - 2 \cos{\left(a \left|{x}\right| \right)} \delta\left(x\right)\right) \left|{x}\right| - 2 a \cos{\left(a \left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} - 2 \sin{\left(a \left|{x}\right| \right)} \delta\left(x\right)
Simplificar
Tercera derivada [src] 
                                   /                                  2     3                                                     \           /                                    2              \                                               
-2*DiracDelta(x, 1)*sin(a*|x|) + a*\-2*DiracDelta(x, 1)*cos(a*|x|) + a *sign (x)*cos(a*|x|) + 6*a*DiracDelta(x)*sign(x)*sin(a*|x|)/*|x| + 3*a*\-2*DiracDelta(x)*cos(a*|x|) + a*sign (x)*sin(a*|x|)/*sign(x) - 6*a*DiracDelta(x)*cos(a*|x|)*sign(x)
3a(asin⁡(a∣x∣)sign⁡2(x)−2cos⁡(a∣x∣)δ(x))sign⁡(x)+a(a2cos⁡(a∣x∣)sign⁡3(x)+6asin⁡(a∣x∣)δ(x)sign⁡(x)−2cos⁡(a∣x∣)δ(1)(x))∣x∣−6acos⁡(a∣x∣)δ(x)sign⁡(x)−2sin⁡(a∣x∣)δ(1)(x)3 a \left(a \sin{\left(a \left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} - 2 \cos{\left(a \left|{x}\right| \right)} \delta\left(x\right)\right) \operatorname{sign}{\left(x \right)} + a \left(a^{2} \cos{\left(a \left|{x}\right| \right)} \operatorname{sign}^{3}{\left(x \right)} + 6 a \sin{\left(a \left|{x}\right| \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)} - 2 \cos{\left(a \left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right)\right) \left|{x}\right| - 6 a \cos{\left(a \left|{x}\right| \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)} - 2 \sin{\left(a \left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right)
Simplificar
    © Sr Examen – Калькулятор