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 1/(x+1)^2
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Derivada de (x+3)/(x-2)
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Derivada de (x+4)^2*(x+1)+9
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Derivada de e^(2-x)
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Expresiones idénticas
- y=(ctg(7x))^sh(x+ tres)
- y es igual a (ctg(7x)) en el grado sh(x más 3)
- y es igual a (ctg(7x)) en el grado sh(x más tres)
- y=(ctg(7x))sh(x+3)
- y=ctg7xshx+3
- y=ctg7x^shx+3
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Expresiones semejantes
- y=(ctg(7x))^sh(x-3)
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Expresiones con funciones
- ctg
- ctg(2x+1)
- ctg3x*arccos(3x)^2
- ctg(x^2)
- ctg(x/7)
- sh
- sh3x
Derivada de y=(ctg(7x))^sh(x+3)
Solución
Ha introducido
[src]
sinh(x + 3) cot (7*x)
$$\cot^{\sinh{\left(x + 3 \right)}}{\left(7 x \right)}$$
cot(7*x)^sinh(x + 3)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
[src]
/ / 2 \ \
sinh(x + 3) | \-7 - 7*cot (7*x)/*sinh(x + 3)|
cot (7*x)*|cosh(x + 3)*log(cot(7*x)) + ------------------------------|
\ cot(7*x) /
$$\left(\frac{\left(- 7 \cot^{2}{\left(7 x \right)} - 7\right) \sinh{\left(x + 3 \right)}}{\cot{\left(7 x \right)}} + \log{\left(\cot{\left(7 x \right)} \right)} \cosh{\left(x + 3 \right)}\right) \cot^{\sinh{\left(x + 3 \right)}}{\left(7 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
sinh(3 + x) || 7*\1 + cot (7*x)/*sinh(3 + x)| / 2 \ 49*\1 + cot (7*x)/ *sinh(3 + x) 14*\1 + cot (7*x)/*cosh(3 + x)|
cot (7*x)*||-cosh(3 + x)*log(cot(7*x)) + -----------------------------| + log(cot(7*x))*sinh(3 + x) + 98*\1 + cot (7*x)/*sinh(3 + x) - ------------------------------- - ------------------------------|
|\ cot(7*x) / 2 cot(7*x) |
\ cot (7*x) /
$$\left(\left(\frac{7 \left(\cot^{2}{\left(7 x \right)} + 1\right) \sinh{\left(x + 3 \right)}}{\cot{\left(7 x \right)}} - \log{\left(\cot{\left(7 x \right)} \right)} \cosh{\left(x + 3 \right)}\right)^{2} - \frac{49 \left(\cot^{2}{\left(7 x \right)} + 1\right)^{2} \sinh{\left(x + 3 \right)}}{\cot^{2}{\left(7 x \right)}} + 98 \left(\cot^{2}{\left(7 x \right)} + 1\right) \sinh{\left(x + 3 \right)} - \frac{14 \left(\cot^{2}{\left(7 x \right)} + 1\right) \cosh{\left(x + 3 \right)}}{\cot{\left(7 x \right)}} + \log{\left(\cot{\left(7 x \right)} \right)} \sinh{\left(x + 3 \right)}\right) \cot^{\sinh{\left(x + 3 \right)}}{\left(7 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 3 2 2 \
| / / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
sinh(3 + x) | | 7*\1 + cot (7*x)/*sinh(3 + x)| | 7*\1 + cot (7*x)/*sinh(3 + x)| | / 2 \ 14*\1 + cot (7*x)/*cosh(3 + x) 49*\1 + cot (7*x)/ *sinh(3 + x)| / 2 \ / 2 \ 686*\1 + cot (7*x)/ *sinh(3 + x) 147*\1 + cot (7*x)/ *cosh(3 + x) 21*\1 + cot (7*x)/*sinh(3 + x) 1372*\1 + cot (7*x)/ *sinh(3 + x)|
cot (7*x)*|- |-cosh(3 + x)*log(cot(7*x)) + -----------------------------| + cosh(3 + x)*log(cot(7*x)) + 3*|-cosh(3 + x)*log(cot(7*x)) + -----------------------------|*|-log(cot(7*x))*sinh(3 + x) - 98*\1 + cot (7*x)/*sinh(3 + x) + ------------------------------ + -------------------------------| + 294*\1 + cot (7*x)/*cosh(3 + x) - 1372*\1 + cot (7*x)/*cot(7*x)*sinh(3 + x) - -------------------------------- - -------------------------------- - ------------------------------ + ---------------------------------|
| \ cot(7*x) / \ cot(7*x) / | cot(7*x) 2 | 3 2 cot(7*x) cot(7*x) |
\ \ cot (7*x) / cot (7*x) cot (7*x) /
$$\left(- \left(\frac{7 \left(\cot^{2}{\left(7 x \right)} + 1\right) \sinh{\left(x + 3 \right)}}{\cot{\left(7 x \right)}} - \log{\left(\cot{\left(7 x \right)} \right)} \cosh{\left(x + 3 \right)}\right)^{3} + 3 \left(\frac{7 \left(\cot^{2}{\left(7 x \right)} + 1\right) \sinh{\left(x + 3 \right)}}{\cot{\left(7 x \right)}} - \log{\left(\cot{\left(7 x \right)} \right)} \cosh{\left(x + 3 \right)}\right) \left(\frac{49 \left(\cot^{2}{\left(7 x \right)} + 1\right)^{2} \sinh{\left(x + 3 \right)}}{\cot^{2}{\left(7 x \right)}} - 98 \left(\cot^{2}{\left(7 x \right)} + 1\right) \sinh{\left(x + 3 \right)} + \frac{14 \left(\cot^{2}{\left(7 x \right)} + 1\right) \cosh{\left(x + 3 \right)}}{\cot{\left(7 x \right)}} - \log{\left(\cot{\left(7 x \right)} \right)} \sinh{\left(x + 3 \right)}\right) - \frac{686 \left(\cot^{2}{\left(7 x \right)} + 1\right)^{3} \sinh{\left(x + 3 \right)}}{\cot^{3}{\left(7 x \right)}} + \frac{1372 \left(\cot^{2}{\left(7 x \right)} + 1\right)^{2} \sinh{\left(x + 3 \right)}}{\cot{\left(7 x \right)}} - \frac{147 \left(\cot^{2}{\left(7 x \right)} + 1\right)^{2} \cosh{\left(x + 3 \right)}}{\cot^{2}{\left(7 x \right)}} - 1372 \left(\cot^{2}{\left(7 x \right)} + 1\right) \cot{\left(7 x \right)} \sinh{\left(x + 3 \right)} + 294 \left(\cot^{2}{\left(7 x \right)} + 1\right) \cosh{\left(x + 3 \right)} - \frac{21 \left(\cot^{2}{\left(7 x \right)} + 1\right) \sinh{\left(x + 3 \right)}}{\cot{\left(7 x \right)}} + \log{\left(\cot{\left(7 x \right)} \right)} \cosh{\left(x + 3 \right)}\right) \cot^{\sinh{\left(x + 3 \right)}}{\left(7 x \right)}$$