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 2^(3*x)
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Derivada de x+4
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Derivada de x*atan(x)
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Derivada de 9/x
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Expresiones idénticas
- y=(cos*x)^ctgx
- y es igual a ( coseno de multiplicar por x) en el grado ctgx
- y=(cos*x)ctgx
- y=cos*xctgx
- y=(cosx)^ctgx
- y=(cosx)ctgx
- y=cosxctgx
- y=cosx^ctgx
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Expresiones con funciones
- Coseno cos
- cos(x)/x^2
- cos^3(x)
- cos(6*x^2+9)^(4)
- cos(x)/e^x
- cos(3*x+2)*2^(9*x)*(1-7*x^2)
Derivada de y=(cos*x)^ctgx
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
cot(x) // 2 \ cot(x)*sin(x)\
cos (x)*|\-1 - cot (x)/*log(cos(x)) - -------------|
\ cos(x) /
$$\left(\left(- \cot^{2}{\left(x \right)} - 1\right) \log{\left(\cos{\left(x \right)} \right)} - \frac{\sin{\left(x \right)} \cot{\left(x \right)}}{\cos{\left(x \right)}}\right) \cos^{\cot{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 / 2 \ \
cot(x) |// 2 \ cot(x)*sin(x)\ sin (x)*cot(x) 2*\1 + cot (x)/*sin(x) / 2 \ |
cos (x)*||\1 + cot (x)/*log(cos(x)) + -------------| - cot(x) - -------------- + ---------------------- + 2*\1 + cot (x)/*cot(x)*log(cos(x))|
|\ cos(x) / 2 cos(x) |
\ cos (x) /
$$\left(\left(\left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} + \frac{\sin{\left(x \right)} \cot{\left(x \right)}}{\cos{\left(x \right)}}\right)^{2} + 2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} \cot{\left(x \right)} + \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} - \frac{\sin^{2}{\left(x \right)} \cot{\left(x \right)}}{\cos^{2}{\left(x \right)}} - \cot{\left(x \right)}\right) \cos^{\cot{\left(x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 / 2 / 2 \ \ 2 / 2 \ 3 / 2 \ \
cot(x) | // 2 \ cot(x)*sin(x)\ 2 / 2 \ // 2 \ cot(x)*sin(x)\ | sin (x)*cot(x) 2*\1 + cot (x)/*sin(x) / 2 \ | 3*sin (x)*\1 + cot (x)/ 2*cot(x)*sin(x) 2*sin (x)*cot(x) 2 / 2 \ 6*\1 + cot (x)/*cot(x)*sin(x)|
-cos (x)*|-3 + |\1 + cot (x)/*log(cos(x)) + -------------| - 3*cot (x) + 2*\1 + cot (x)/ *log(cos(x)) + 3*|\1 + cot (x)/*log(cos(x)) + -------------|*|-cot(x) - -------------- + ---------------------- + 2*\1 + cot (x)/*cot(x)*log(cos(x))| - ----------------------- + --------------- + ---------------- + 4*cot (x)*\1 + cot (x)/*log(cos(x)) + -----------------------------|
| \ cos(x) / \ cos(x) / | 2 cos(x) | 2 cos(x) 3 cos(x) |
\ \ cos (x) / cos (x) cos (x) /
$$- \left(\left(\left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} + \frac{\sin{\left(x \right)} \cot{\left(x \right)}}{\cos{\left(x \right)}}\right)^{3} + 3 \left(\left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} + \frac{\sin{\left(x \right)} \cot{\left(x \right)}}{\cos{\left(x \right)}}\right) \left(2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} \cot{\left(x \right)} + \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} - \frac{\sin^{2}{\left(x \right)} \cot{\left(x \right)}}{\cos^{2}{\left(x \right)}} - \cot{\left(x \right)}\right) + 2 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\cos{\left(x \right)} \right)} + 4 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} \cot^{2}{\left(x \right)} - \frac{3 \left(\cot^{2}{\left(x \right)} + 1\right) \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)} \cot{\left(x \right)}}{\cos{\left(x \right)}} + \frac{2 \sin^{3}{\left(x \right)} \cot{\left(x \right)}}{\cos^{3}{\left(x \right)}} + \frac{2 \sin{\left(x \right)} \cot{\left(x \right)}}{\cos{\left(x \right)}} - 3 \cot^{2}{\left(x \right)} - 3\right) \cos^{\cot{\left(x \right)}}{\left(x \right)}$$
Gráfico