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^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de y=-6/x
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Expresiones idénticas
- (xsinx)^tgx
- (x seno de x) en el grado tgx
- (xsinx)tgx
- xsinxtgx
- xsinx^tgx
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Expresiones con funciones
- xsinx
- xsinx-xcosx
- xsinxe^(2x)
- xsinx-cosx
- xsinx+cisx
- xsinx+2lnx
Derivada de (xsinx)^tgx
Solución
Ha introducido
[src]
tan(x) (x*sin(x))
$$\left(x \sin{\left(x \right)}\right)^{\tan{\left(x \right)}}$$
(x*sin(x))^tan(x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
tan(x) // 2 \ (x*cos(x) + sin(x))*tan(x)\
(x*sin(x)) *|\1 + tan (x)/*log(x*sin(x)) + --------------------------|
\ x*sin(x) /
$$\left(x \sin{\left(x \right)}\right)^{\tan{\left(x \right)}} \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \sin{\left(x \right)} \right)} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}}\right)$$
Segunda derivada
[src]
/ 2 / 2 \ \
tan(x) |// 2 \ (x*cos(x) + sin(x))*tan(x)\ / 2 \ (-2*cos(x) + x*sin(x))*tan(x) (x*cos(x) + sin(x))*tan(x) 2*\1 + tan (x)/*(x*cos(x) + sin(x)) (x*cos(x) + sin(x))*cos(x)*tan(x)|
(x*sin(x)) *||\1 + tan (x)/*log(x*sin(x)) + --------------------------| + 2*\1 + tan (x)/*log(x*sin(x))*tan(x) - ----------------------------- - -------------------------- + ----------------------------------- - ---------------------------------|
|\ x*sin(x) / x*sin(x) 2 x*sin(x) 2 |
\ x *sin(x) x*sin (x) /
$$\left(x \sin{\left(x \right)}\right)^{\tan{\left(x \right)}} \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \sin{\left(x \right)} \right)} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \sin{\left(x \right)} \right)} \tan{\left(x \right)} - \frac{\left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}} + \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \sin{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \cos{\left(x \right)} \tan{\left(x \right)}}{x \sin^{2}{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x^{2} \sin{\left(x \right)}}\right)$$
Tercera derivada
[src]
/ 3 / / 2 \ \ 2 / 2 \ / 2 \ / 2 \ 2 / 2 \ \
tan(x) |// 2 \ (x*cos(x) + sin(x))*tan(x)\ // 2 \ (x*cos(x) + sin(x))*tan(x)\ | / 2 \ (-2*cos(x) + x*sin(x))*tan(x) (x*cos(x) + sin(x))*tan(x) 2*\1 + tan (x)/*(x*cos(x) + sin(x)) (x*cos(x) + sin(x))*cos(x)*tan(x)| / 2 \ 2 / 2 \ (x*cos(x) + sin(x))*tan(x) (3*sin(x) + x*cos(x))*tan(x) 3*\1 + tan (x)/*(-2*cos(x) + x*sin(x)) 3*\1 + tan (x)/*(x*cos(x) + sin(x)) 2*(x*cos(x) + sin(x))*tan(x) 2*(-2*cos(x) + x*sin(x))*tan(x) 3*\1 + tan (x)/*(x*cos(x) + sin(x))*cos(x) 2*cos (x)*(x*cos(x) + sin(x))*tan(x) 2*(-2*cos(x) + x*sin(x))*cos(x)*tan(x) 2*(x*cos(x) + sin(x))*cos(x)*tan(x) 6*\1 + tan (x)/*(x*cos(x) + sin(x))*tan(x)|
(x*sin(x)) *||\1 + tan (x)/*log(x*sin(x)) + --------------------------| - 3*|\1 + tan (x)/*log(x*sin(x)) + --------------------------|*|- 2*\1 + tan (x)/*log(x*sin(x))*tan(x) + ----------------------------- + -------------------------- - ----------------------------------- + ---------------------------------| + 2*\1 + tan (x)/ *log(x*sin(x)) + 4*tan (x)*\1 + tan (x)/*log(x*sin(x)) + -------------------------- - ---------------------------- - -------------------------------------- - ----------------------------------- + ---------------------------- + ------------------------------- - ------------------------------------------ + ------------------------------------ + -------------------------------------- + ----------------------------------- + ------------------------------------------|
|\ x*sin(x) / \ x*sin(x) / | x*sin(x) 2 x*sin(x) 2 | x*sin(x) x*sin(x) x*sin(x) 2 3 2 2 3 2 2 2 x*sin(x) |
\ \ x *sin(x) x*sin (x) / x *sin(x) x *sin(x) x *sin(x) x*sin (x) x*sin (x) x*sin (x) x *sin (x) /
$$\left(x \sin{\left(x \right)}\right)^{\tan{\left(x \right)}} \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \sin{\left(x \right)} \right)} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}}\right)^{3} - 3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \sin{\left(x \right)} \right)} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}}\right) \left(- 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \sin{\left(x \right)} \right)} \tan{\left(x \right)} + \frac{\left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}} - \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \sin{\left(x \right)}} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \cos{\left(x \right)} \tan{\left(x \right)}}{x \sin^{2}{\left(x \right)}} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x^{2} \sin{\left(x \right)}}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \sin{\left(x \right)} \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \sin{\left(x \right)} \right)} \tan^{2}{\left(x \right)} - \frac{3 \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \sin{\left(x \right)}} + \frac{2 \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \cos{\left(x \right)} \tan{\left(x \right)}}{x \sin^{2}{\left(x \right)}} + \frac{6 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}} - \frac{3 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)}}{x \sin^{2}{\left(x \right)}} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}} + \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \cos^{2}{\left(x \right)} \tan{\left(x \right)}}{x \sin^{3}{\left(x \right)}} - \frac{\left(x \cos{\left(x \right)} + 3 \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x \sin{\left(x \right)}} + \frac{2 \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \tan{\left(x \right)}}{x^{2} \sin{\left(x \right)}} - \frac{3 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2} \sin{\left(x \right)}} + \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \cos{\left(x \right)} \tan{\left(x \right)}}{x^{2} \sin^{2}{\left(x \right)}} + \frac{2 \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \tan{\left(x \right)}}{x^{3} \sin{\left(x \right)}}\right)$$
Gráfico