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*y
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Derivada de 3^2*x
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Derivada de 2*x+8/x
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Derivada de -1/y
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Expresiones idénticas
- y=(ctg4x)^x^ cinco
- y es igual a (ctg4x) en el grado x en el grado 5
- y es igual a (ctg4x) en el grado x en el grado cinco
- y=(ctg4x)x5
- y=ctg4xx5
- y=(ctg4x)^x⁵
- y=ctg4x^x^5
Derivada de y=(ctg4x)^x^5
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ 5\ / 5 / 2 \\
\x / | 4 x *\-4 - 4*cot (4*x)/|
(cot(4*x)) *|5*x *log(cot(4*x)) + ---------------------|
\ cot(4*x) /
$$\left(\frac{x^{5} \left(- 4 \cot^{2}{\left(4 x \right)} - 4\right)}{\cot{\left(4 x \right)}} + 5 x^{4} \log{\left(\cot{\left(4 x \right)} \right)}\right) \cot^{x^{5}}{\left(4 x \right)}$$
Segunda derivada
[src]
/ 2 2\
/ 5\ | / / 2 \\ / 2 \ 2 / 2 \ |
3 \x / | 5 | 4*x*\1 + cot (4*x)/| 2 / 2 \ 40*x*\1 + cot (4*x)/ 16*x *\1 + cot (4*x)/ |
x *(cot(4*x)) *|20*log(cot(4*x)) + x *|-5*log(cot(4*x)) + -------------------| + 32*x *\1 + cot (4*x)/ - -------------------- - ----------------------|
| \ cot(4*x) / cot(4*x) 2 |
\ cot (4*x) /
$$x^{3} \left(x^{5} \left(\frac{4 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} - 5 \log{\left(\cot{\left(4 x \right)} \right)}\right)^{2} - \frac{16 x^{2} \left(\cot^{2}{\left(4 x \right)} + 1\right)^{2}}{\cot^{2}{\left(4 x \right)}} + 32 x^{2} \left(\cot^{2}{\left(4 x \right)} + 1\right) - \frac{40 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} + 20 \log{\left(\cot{\left(4 x \right)} \right)}\right) \cot^{x^{5}}{\left(4 x \right)}$$
Tercera derivada
[src]
/ 3 2 3 / 2 \ 2\
/ 5\ | / / 2 \\ / 2 \ 2 / 2 \ 3 / 2 \ / / 2 \\ | 2 / 2 \ / 2 \| 3 / 2 \ |
2 \x / | 10 | 4*x*\1 + cot (4*x)/| 2 / 2 \ 3 / 2 \ 240*x*\1 + cot (4*x)/ 240*x *\1 + cot (4*x)/ 128*x *\1 + cot (4*x)/ 5 | 4*x*\1 + cot (4*x)/| | 2 / 2 \ 4*x *\1 + cot (4*x)/ 10*x*\1 + cot (4*x)/| 256*x *\1 + cot (4*x)/ |
x *(cot(4*x)) *|60*log(cot(4*x)) - x *|-5*log(cot(4*x)) + -------------------| + 480*x *\1 + cot (4*x)/ - 256*x *\1 + cot (4*x)/*cot(4*x) - --------------------- - ----------------------- - ----------------------- + 12*x *|-5*log(cot(4*x)) + -------------------|*|-5*log(cot(4*x)) - 8*x *\1 + cot (4*x)/ + --------------------- + --------------------| + -----------------------|
| \ cot(4*x) / cot(4*x) 2 3 \ cot(4*x) / | 2 cot(4*x) | cot(4*x) |
\ cot (4*x) cot (4*x) \ cot (4*x) / /
$$x^{2} \left(- x^{10} \left(\frac{4 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} - 5 \log{\left(\cot{\left(4 x \right)} \right)}\right)^{3} + 12 x^{5} \left(\frac{4 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} - 5 \log{\left(\cot{\left(4 x \right)} \right)}\right) \left(\frac{4 x^{2} \left(\cot^{2}{\left(4 x \right)} + 1\right)^{2}}{\cot^{2}{\left(4 x \right)}} - 8 x^{2} \left(\cot^{2}{\left(4 x \right)} + 1\right) + \frac{10 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} - 5 \log{\left(\cot{\left(4 x \right)} \right)}\right) - \frac{128 x^{3} \left(\cot^{2}{\left(4 x \right)} + 1\right)^{3}}{\cot^{3}{\left(4 x \right)}} + \frac{256 x^{3} \left(\cot^{2}{\left(4 x \right)} + 1\right)^{2}}{\cot{\left(4 x \right)}} - 256 x^{3} \left(\cot^{2}{\left(4 x \right)} + 1\right) \cot{\left(4 x \right)} - \frac{240 x^{2} \left(\cot^{2}{\left(4 x \right)} + 1\right)^{2}}{\cot^{2}{\left(4 x \right)}} + 480 x^{2} \left(\cot^{2}{\left(4 x \right)} + 1\right) - \frac{240 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} + 60 \log{\left(\cot{\left(4 x \right)} \right)}\right) \cot^{x^{5}}{\left(4 x \right)}$$