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:
-
Derivada de √2x
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Derivada de 25/x
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Derivada de x*arcsinx
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Derivada de 2*sin(3*x)
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Expresiones idénticas
- -((x)*sin(sqrt(abs(x))))
- menos ((x) multiplicar por seno de ( raíz cuadrada de (abs(x))))
- -((x)*sin(√(abs(x))))
- -((x)sin(sqrt(abs(x))))
- -xsinsqrtabsx
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Expresiones semejantes
- ((x)*sin(sqrt(abs(x))))
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Expresiones con funciones
- Seno sin
- sin^2*2x
- sin(8*x)
- sin(2*y)
- sin(x)/cos(x)^(2)
- sin(x)^(5)
- Raíz cuadrada sqrt
- sqrt(x^3)+4*x^7-2*x
- sqrt(x^3)+sinx+x^6
- sqrt(5*x)
- sqrt(x)*asin(sqrt(x))+sqrt(1-x)
- sqrt(x)^(1/4)
Derivada de -((x)*sin(sqrt(abs(x))))
Solución
Ha introducido
[src]
/ _____\ -x*sin\\/ |x| /
$$- x \sin{\left(\sqrt{\left|{x}\right|} \right)}$$
-x*sin(sqrt(|x|))
Primera derivada
[src]
/ _____\
/ _____\ x*cos\\/ |x| /*sign(x)
- sin\\/ |x| / - ----------------------
_____
2*\/ |x|
$$- \frac{x \cos{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}{\left(x \right)}}{2 \sqrt{\left|{x}\right|}} - \sin{\left(\sqrt{\left|{x}\right|} \right)}$$
Segunda derivada
[src]
/ 2 / _____\ 2 / _____\ / _____\\
|sign (x)*sin\\/ |x| / sign (x)*cos\\/ |x| / 4*DiracDelta(x)*cos\\/ |x| /|
x*|--------------------- + --------------------- - ----------------------------|
| |x| 3/2 _____ | / _____\
\ |x| \/ |x| / cos\\/ |x| /*sign(x)
-------------------------------------------------------------------------------- - --------------------
4 _____
\/ |x|
$$\frac{x \left(\frac{\sin{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}^{2}{\left(x \right)}}{\left|{x}\right|} - \frac{4 \cos{\left(\sqrt{\left|{x}\right|} \right)} \delta\left(x\right)}{\sqrt{\left|{x}\right|}} + \frac{\cos{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}^{2}{\left(x \right)}}{\left|{x}\right|^{\frac{3}{2}}}\right)}{4} - \frac{\cos{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}{\left(x \right)}}{\sqrt{\left|{x}\right|}}$$
Tercera derivada
[src]
/ 3 / _____\ / _____\ 3 / _____\ 3 / _____\ / _____\ / _____\ \
|sign (x)*cos\\/ |x| / 8*DiracDelta(x, 1)*cos\\/ |x| / 3*sign (x)*sin\\/ |x| / 3*sign (x)*cos\\/ |x| / 12*DiracDelta(x)*sign(x)*sin\\/ |x| / 12*DiracDelta(x)*cos\\/ |x| /*sign(x)|
x*|--------------------- - ------------------------------- - ----------------------- - ----------------------- + ------------------------------------- + -------------------------------------|
| 3/2 _____ 2 5/2 |x| 3/2 | / _____\ 2 / _____\ 2 / _____\
\ |x| \/ |x| x |x| |x| / 3*DiracDelta(x)*cos\\/ |x| / 3*sign (x)*sin\\/ |x| / 3*sign (x)*cos\\/ |x| /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------- + ----------------------- + -----------------------
8 _____ 4*|x| 3/2
\/ |x| 4*|x|
$$\frac{x \left(\frac{12 \sin{\left(\sqrt{\left|{x}\right|} \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} - \frac{8 \cos{\left(\sqrt{\left|{x}\right|} \right)} \delta^{\left( 1 \right)}\left( x \right)}{\sqrt{\left|{x}\right|}} + \frac{12 \cos{\left(\sqrt{\left|{x}\right|} \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{\left|{x}\right|^{\frac{3}{2}}} + \frac{\cos{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}^{3}{\left(x \right)}}{\left|{x}\right|^{\frac{3}{2}}} - \frac{3 \cos{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}^{3}{\left(x \right)}}{\left|{x}\right|^{\frac{5}{2}}} - \frac{3 \sin{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}^{3}{\left(x \right)}}{x^{2}}\right)}{8} + \frac{3 \sin{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}^{2}{\left(x \right)}}{4 \left|{x}\right|} - \frac{3 \cos{\left(\sqrt{\left|{x}\right|} \right)} \delta\left(x\right)}{\sqrt{\left|{x}\right|}} + \frac{3 \cos{\left(\sqrt{\left|{x}\right|} \right)} \operatorname{sign}^{2}{\left(x \right)}}{4 \left|{x}\right|^{\frac{3}{2}}}$$