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
-
¿Cómo usar?
- Derivada de:
-
Derivada de (3x^4-x)^7
-
Derivada de (3x+6)^2
-
Derivada de (1+cos(x))/(1-cos(x))
-
Derivada de (2*x-9)/(x-5)
-
Expresiones idénticas
- x*sin(x)^tg(x)
- x multiplicar por seno de (x) en el grado tg(x)
- x*sin(x)tg(x)
- x*sinxtgx
- xsin(x)^tg(x)
- xsin(x)tg(x)
- xsinxtgx
- xsinx^tgx
-
Expresiones semejantes
- x*sinx^tg(x)
Derivada de x*sin(x)^tg(x)
Solución
Ha introducido
[src]
tan(x) x*sin (x)
$$x \sin^{\tan{\left(x \right)}}{\left(x \right)}$$
x*sin(x)^tan(x)
Solución detallada
-
Se aplica la regla de la derivada de una multiplicación:
; calculamos :
-
Según el principio, aplicamos: tenemos
; calculamos :
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Como resultado de:
-
Respuesta:
Primera derivada
[src]
tan(x) tan(x) // 2 \ cos(x)*tan(x)\
sin (x) + x*sin (x)*|\1 + tan (x)/*log(sin(x)) + -------------|
\ sin(x) /
$$x \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} + \frac{\cos{\left(x \right)} \tan{\left(x \right)}}{\sin{\left(x \right)}}\right) \sin^{\tan{\left(x \right)}}{\left(x \right)} + \sin^{\tan{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ / 2 2 / 2 \ \ \
tan(x) | |// 2 \ cos(x)*tan(x)\ cos (x)*tan(x) 2*\1 + tan (x)/*cos(x) / 2 \ | / 2 \ 2*cos(x)*tan(x)|
sin (x)*|x*||\1 + tan (x)/*log(sin(x)) + -------------| - tan(x) - -------------- + ---------------------- + 2*\1 + tan (x)/*log(sin(x))*tan(x)| + 2*\1 + tan (x)/*log(sin(x)) + ---------------|
| |\ sin(x) / 2 sin(x) | sin(x) |
\ \ sin (x) / /
$$\left(x \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} + \frac{\cos{\left(x \right)} \tan{\left(x \right)}}{\sin{\left(x \right)}}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)}}{\sin{\left(x \right)}} - \tan{\left(x \right)} - \frac{\cos^{2}{\left(x \right)} \tan{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} + \frac{2 \cos{\left(x \right)} \tan{\left(x \right)}}{\sin{\left(x \right)}}\right) \sin^{\tan{\left(x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 2 / 3 2 / 2 / 2 \ \ 2 / 2 \ 3 / 2 \ \ 2 / 2 \ \
tan(x) | // 2 \ cos(x)*tan(x)\ | // 2 \ cos(x)*tan(x)\ 2 / 2 \ // 2 \ cos(x)*tan(x)\ | cos (x)*tan(x) 2*\1 + tan (x)/*cos(x) / 2 \ | 3*cos (x)*\1 + tan (x)/ 2*cos (x)*tan(x) 2*cos(x)*tan(x) 2 / 2 \ 6*\1 + tan (x)/*cos(x)*tan(x)| 3*cos (x)*tan(x) 6*\1 + tan (x)/*cos(x) / 2 \ |
sin (x)*|-3*tan(x) + 3*|\1 + tan (x)/*log(sin(x)) + -------------| + x*|-3 + |\1 + tan (x)/*log(sin(x)) + -------------| - 3*tan (x) + 2*\1 + tan (x)/ *log(sin(x)) + 3*|\1 + tan (x)/*log(sin(x)) + -------------|*|-tan(x) - -------------- + ---------------------- + 2*\1 + tan (x)/*log(sin(x))*tan(x)| - ----------------------- + ---------------- + --------------- + 4*tan (x)*\1 + tan (x)/*log(sin(x)) + -----------------------------| - ---------------- + ---------------------- + 6*\1 + tan (x)/*log(sin(x))*tan(x)|
| \ sin(x) / | \ sin(x) / \ sin(x) / | 2 sin(x) | 2 3 sin(x) sin(x) | 2 sin(x) |
\ \ \ sin (x) / sin (x) sin (x) / sin (x) /
$$\left(x \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} + \frac{\cos{\left(x \right)} \tan{\left(x \right)}}{\sin{\left(x \right)}}\right)^{3} + 3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} + \frac{\cos{\left(x \right)} \tan{\left(x \right)}}{\sin{\left(x \right)}}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)}}{\sin{\left(x \right)}} - \tan{\left(x \right)} - \frac{\cos^{2}{\left(x \right)} \tan{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} \tan^{2}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)} \tan{\left(x \right)}}{\sin{\left(x \right)}} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}} - 3 \tan^{2}{\left(x \right)} - 3 + \frac{2 \cos{\left(x \right)} \tan{\left(x \right)}}{\sin{\left(x \right)}} + \frac{2 \cos^{3}{\left(x \right)} \tan{\left(x \right)}}{\sin^{3}{\left(x \right)}}\right) + 3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} + \frac{\cos{\left(x \right)} \tan{\left(x \right)}}{\sin{\left(x \right)}}\right)^{2} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} \tan{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)}}{\sin{\left(x \right)}} - 3 \tan{\left(x \right)} - \frac{3 \cos^{2}{\left(x \right)} \tan{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \sin^{\tan{\left(x \right)}}{\left(x \right)}$$
Gráfico