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 -5*tan(2*t)-4*cot(4*t)
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Derivada de (3x+6)^2
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Derivada de 3^(x*x)
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Derivada de 2*x-8/x
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Expresiones idénticas
- y=(tg(2x+ uno))^(tres /x)
- y es igual a (tg(2x más 1)) en el grado (3 dividir por x)
- y es igual a (tg(2x más uno)) en el grado (tres dividir por x)
- y=(tg(2x+1))(3/x)
- y=tg2x+13/x
- y=tg2x+1^3/x
- y=(tg(2x+1))^(3 dividir por x)
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Expresiones semejantes
- y=(tg(2x-1))^(3/x)
Derivada de y=(tg(2x+1))^(3/x)
Solución
Ha introducido
[src]
3
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x
(tan(2*x + 1))
$$\tan^{\frac{3}{x}}{\left(2 x + 1 \right)}$$
tan(2*x + 1)^(3/x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
3
- / / 2 \\
x | 3*log(tan(2*x + 1)) 3*\2 + 2*tan (2*x + 1)/|
(tan(2*x + 1)) *|- ------------------- + -----------------------|
| 2 x*tan(2*x + 1) |
\ x /
$$\left(\frac{3 \left(2 \tan^{2}{\left(2 x + 1 \right)} + 2\right)}{x \tan{\left(2 x + 1 \right)}} - \frac{3 \log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x^{2}}\right) \tan^{\frac{3}{x}}{\left(2 x + 1 \right)}$$
Segunda derivada
[src]
/ 2 \
| / / 2 \\ |
3 | 2 | log(tan(1 + 2*x)) 2*\1 + tan (1 + 2*x)/| |
- | / 2 \ 3*|- ----------------- + ---------------------| / 2 \|
x | 2 4*\1 + tan (1 + 2*x)/ 2*log(tan(1 + 2*x)) \ x tan(1 + 2*x) / 4*\1 + tan (1 + 2*x)/|
3*(tan(1 + 2*x)) *|8 + 8*tan (1 + 2*x) - ---------------------- + ------------------- + ------------------------------------------------ - ---------------------|
| 2 2 x x*tan(1 + 2*x) |
\ tan (1 + 2*x) x /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------
x
$$\frac{3 \left(- \frac{4 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2}}{\tan^{2}{\left(2 x + 1 \right)}} + 8 \tan^{2}{\left(2 x + 1 \right)} + 8 + \frac{3 \left(\frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{\tan{\left(2 x + 1 \right)}} - \frac{\log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x}\right)^{2}}{x} - \frac{4 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{x \tan{\left(2 x + 1 \right)}} + \frac{2 \log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x^{2}}\right) \tan^{\frac{3}{x}}{\left(2 x + 1 \right)}}{x}$$
Tercera derivada
[src]
/ / 2 \ \
| 3 / / 2 \\ | / 2 \ / 2 \| |
| / / 2 \\ | log(tan(1 + 2*x)) 2*\1 + tan (1 + 2*x)/| | 2 log(tan(1 + 2*x)) 2*\1 + tan (1 + 2*x)/ 2*\1 + tan (1 + 2*x)/| |
3 | 2 | log(tan(1 + 2*x)) 2*\1 + tan (1 + 2*x)/| 3 18*|- ----------------- + ---------------------|*|-4 - 4*tan (1 + 2*x) - ----------------- + ---------------------- + ---------------------| 2 |
- | / 2 \ / 2 \ 9*|- ----------------- + ---------------------| / 2 \ \ x tan(1 + 2*x) / | 2 2 x*tan(1 + 2*x) | / 2 \ / 2 \|
x | 32*\1 + tan (1 + 2*x)/ 24*\1 + tan (1 + 2*x)/ 6*log(tan(1 + 2*x)) \ x tan(1 + 2*x) / 16*\1 + tan (1 + 2*x)/ / 2 \ \ x tan (1 + 2*x) / 12*\1 + tan (1 + 2*x)/ 12*\1 + tan (1 + 2*x)/|
3*(tan(1 + 2*x)) *|- ----------------------- - ---------------------- - ------------------- + ------------------------------------------------ + ----------------------- + 32*\1 + tan (1 + 2*x)/*tan(1 + 2*x) - -------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------- + ----------------------|
| tan(1 + 2*x) x 3 2 3 x 2 2 |
\ x x tan (1 + 2*x) x*tan (1 + 2*x) x *tan(1 + 2*x) /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
x
$$\frac{3 \left(\frac{16 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{3}}{\tan^{3}{\left(2 x + 1 \right)}} - \frac{32 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2}}{\tan{\left(2 x + 1 \right)}} + 32 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right) \tan{\left(2 x + 1 \right)} - \frac{18 \left(\frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{\tan{\left(2 x + 1 \right)}} - \frac{\log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x}\right) \left(\frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2}}{\tan^{2}{\left(2 x + 1 \right)}} - 4 \tan^{2}{\left(2 x + 1 \right)} - 4 + \frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{x \tan{\left(2 x + 1 \right)}} - \frac{\log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x^{2}}\right)}{x} + \frac{12 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)^{2}}{x \tan^{2}{\left(2 x + 1 \right)}} - \frac{24 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{x} + \frac{9 \left(\frac{2 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{\tan{\left(2 x + 1 \right)}} - \frac{\log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x}\right)^{3}}{x^{2}} + \frac{12 \left(\tan^{2}{\left(2 x + 1 \right)} + 1\right)}{x^{2} \tan{\left(2 x + 1 \right)}} - \frac{6 \log{\left(\tan{\left(2 x + 1 \right)} \right)}}{x^{3}}\right) \tan^{\frac{3}{x}}{\left(2 x + 1 \right)}}{x}$$
Gráfico