Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
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Derivada de x*e^(1/x)
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Derivada de sin(2*x+3)
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Derivada de e^y
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Derivada de e^x-e^-x
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Expresiones idénticas
- x*sin(|x|)*sign(x)
- x multiplicar por seno de ( módulo de x|) multiplicar por sign(x)
- xsin(|x|)sign(x)
- xsin|x|signx
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Expresiones con funciones
- Seno sin
- sin(2*x+3)
- sin^3x
- sin(8*x)
- sin(x)+(3*x)^6
- sin(v)
- sign
- sign(x)
- Módulo |
- |y|+pi/4
- |y+1|
- |x|*x+3*|x|-5*x
- |x|*log(|x|)^(6/7)
- |x-2|
Derivada de x*sin(|x|)*sign(x)
Solución
Ha introducido
[src]
x*sin(|x|)*sign(x)
$$x \sin{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)}$$
(x*sin(|x|))*sign(x)
Primera derivada
[src]
(x*cos(|x|)*sign(x) + sin(|x|))*sign(x) + 2*x*DiracDelta(x)*sin(|x|)
$$2 x \sin{\left(\left|{x}\right| \right)} \delta\left(x\right) + \left(x \cos{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)} + \sin{\left(\left|{x}\right| \right)}\right) \operatorname{sign}{\left(x \right)}$$
Segunda derivada
[src]
/ / 2 \ \ - \x*\sign (x)*sin(|x|) - 2*DiracDelta(x)*cos(|x|)/ - 2*cos(|x|)*sign(x)/*sign(x) + 4*(x*cos(|x|)*sign(x) + sin(|x|))*DiracDelta(x) + 2*x*DiracDelta(x, 1)*sin(|x|)
$$2 x \sin{\left(\left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right) - \left(x \left(\sin{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} - 2 \cos{\left(\left|{x}\right| \right)} \delta\left(x\right)\right) - 2 \cos{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)}\right) \operatorname{sign}{\left(x \right)} + 4 \left(x \cos{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)} + \sin{\left(\left|{x}\right| \right)}\right) \delta\left(x\right)$$
Tercera derivada
[src]
/ / 3 \ 2 \ / / 2 \ \ - \x*\sign (x)*cos(|x|) - 2*DiracDelta(x, 1)*cos(|x|) + 6*DiracDelta(x)*sign(x)*sin(|x|)/ - 6*DiracDelta(x)*cos(|x|) + 3*sign (x)*sin(|x|)/*sign(x) - 6*\x*\sign (x)*sin(|x|) - 2*DiracDelta(x)*cos(|x|)/ - 2*cos(|x|)*sign(x)/*DiracDelta(x) + 6*(x*cos(|x|)*sign(x) + sin(|x|))*DiracDelta(x, 1) + 2*x*DiracDelta(x, 2)*sin(|x|)
$$2 x \sin{\left(\left|{x}\right| \right)} \delta^{\left( 2 \right)}\left( x \right) - 6 \left(x \left(\sin{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} - 2 \cos{\left(\left|{x}\right| \right)} \delta\left(x\right)\right) - 2 \cos{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)}\right) \delta\left(x\right) + 6 \left(x \cos{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)} + \sin{\left(\left|{x}\right| \right)}\right) \delta^{\left( 1 \right)}\left( x \right) - \left(x \left(6 \sin{\left(\left|{x}\right| \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)} - 2 \cos{\left(\left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right) + \cos{\left(\left|{x}\right| \right)} \operatorname{sign}^{3}{\left(x \right)}\right) + 3 \sin{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} - 6 \cos{\left(\left|{x}\right| \right)} \delta\left(x\right)\right) \operatorname{sign}{\left(x \right)}$$
Gráfico