Sr Examen

Derivada de y(x)=xsin2|x|

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
x*sin(2)*|x|
xsin(2)xx \sin{\left(2 \right)} \left|{x}\right|
(x*sin(2))*|x|
Primera derivada [src]
|x|*sin(2) + x*sign(x)*sin(2)
xsin(2)sign(x)+sin(2)xx \sin{\left(2 \right)} \operatorname{sign}{\left(x \right)} + \sin{\left(2 \right)} \left|{x}\right|
Segunda derivada [src]
2*(x*DiracDelta(x) + sign(x))*sin(2)
2(xδ(x)+sign(x))sin(2)2 \left(x \delta\left(x\right) + \operatorname{sign}{\left(x \right)}\right) \sin{\left(2 \right)}
Tercera derivada [src]
2*(3*DiracDelta(x) + x*DiracDelta(x, 1))*sin(2)
2(xδ(1)(x)+3δ(x))sin(2)2 \left(x \delta^{\left( 1 \right)}\left( x \right) + 3 \delta\left(x\right)\right) \sin{\left(2 \right)}