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 x^-(4/5)
-
Derivada de x^-8
-
Derivada de x^2/lnx
-
Derivada de √x+2
-
Expresiones idénticas
- ((сtgx)^(sin3x))
- ((сtgx) en el grado ( seno de 3x))
- ((сtgx)(sin3x))
- сtgxsin3x
- сtgx^sin3x
Derivada de ((сtgx)^(sin3x))
Solución
Ha introducido
[src]
sin(3*x) cot (x)
$$\cot^{\sin{\left(3 x \right)}}{\left(x \right)}$$
cot(x)^sin(3*x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
sin(3*x) | \-1 - cot (x)/*sin(3*x)|
cot (x)*|3*cos(3*x)*log(cot(x)) + -----------------------|
\ cot(x) /
$$\left(\frac{\left(- \cot^{2}{\left(x \right)} - 1\right) \sin{\left(3 x \right)}}{\cot{\left(x \right)}} + 3 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(3 x \right)}\right) \cot^{\sin{\left(3 x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
sin(3*x) || \1 + cot (x)/*sin(3*x)| / 2 \ \1 + cot (x)/ *sin(3*x) 6*\1 + cot (x)/*cos(3*x)|
cot (x)*||-3*cos(3*x)*log(cot(x)) + ----------------------| - 9*log(cot(x))*sin(3*x) + 2*\1 + cot (x)/*sin(3*x) - ----------------------- - ------------------------|
|\ cot(x) / 2 cot(x) |
\ cot (x) /
$$\left(\left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(3 x \right)}}{\cot{\left(x \right)}} - 3 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(3 x \right)}\right)^{2} - \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2} \sin{\left(3 x \right)}}{\cot^{2}{\left(x \right)}} + 2 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(3 x \right)} - \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right) \cos{\left(3 x \right)}}{\cot{\left(x \right)}} - 9 \log{\left(\cot{\left(x \right)} \right)} \sin{\left(3 x \right)}\right) \cot^{\sin{\left(3 x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 2 \
| / / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
sin(3*x) | | \1 + cot (x)/*sin(3*x)| | \1 + cot (x)/*sin(3*x)| | / 2 \ \1 + cot (x)/ *sin(3*x) 6*\1 + cot (x)/*cos(3*x)| / 2 \ 9*\1 + cot (x)/ *cos(3*x) / 2 \ 2*\1 + cot (x)/ *sin(3*x) 4*\1 + cot (x)/ *sin(3*x) 27*\1 + cot (x)/*sin(3*x)|
cot (x)*|- |-3*cos(3*x)*log(cot(x)) + ----------------------| - 27*cos(3*x)*log(cot(x)) + 3*|-3*cos(3*x)*log(cot(x)) + ----------------------|*|- 2*\1 + cot (x)/*sin(3*x) + 9*log(cot(x))*sin(3*x) + ----------------------- + ------------------------| + 18*\1 + cot (x)/*cos(3*x) - ------------------------- - 4*\1 + cot (x)/*cot(x)*sin(3*x) - ------------------------- + ------------------------- + -------------------------|
| \ cot(x) / \ cot(x) / | 2 cot(x) | 2 3 cot(x) cot(x) |
\ \ cot (x) / cot (x) cot (x) /
$$\left(- \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(3 x \right)}}{\cot{\left(x \right)}} - 3 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(3 x \right)}\right)^{3} + 3 \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(3 x \right)}}{\cot{\left(x \right)}} - 3 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(3 x \right)}\right) \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2} \sin{\left(3 x \right)}}{\cot^{2}{\left(x \right)}} - 2 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(3 x \right)} + \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right) \cos{\left(3 x \right)}}{\cot{\left(x \right)}} + 9 \log{\left(\cot{\left(x \right)} \right)} \sin{\left(3 x \right)}\right) - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{3} \sin{\left(3 x \right)}}{\cot^{3}{\left(x \right)}} + \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \sin{\left(3 x \right)}}{\cot{\left(x \right)}} - \frac{9 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \cos{\left(3 x \right)}}{\cot^{2}{\left(x \right)}} - 4 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(3 x \right)} \cot{\left(x \right)} + \frac{27 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(3 x \right)}}{\cot{\left(x \right)}} + 18 \left(\cot^{2}{\left(x \right)} + 1\right) \cos{\left(3 x \right)} - 27 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(3 x \right)}\right) \cot^{\sin{\left(3 x \right)}}{\left(x \right)}$$
Gráfico