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 x^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de (-2)/x^3
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Expresiones idénticas
- y=tan(×)^tan(x)
- y es igual a tangente de (×) en el grado tangente de (x)
- y=tan(×)tan(x)
- y=tan×tanx
- y=tan×^tanx
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Expresiones con funciones
- Tangente tan
- tan(x^2)
- tan(0)
- tan(x^2+1)^(4)
- tan(2*p)/(1-cot(2*p))
- tan^-1√x
- Tangente tan
- tan(x^2)
- tan(0)
- tan(x^2+1)^(4)
- tan(2*p)/(1-cot(2*p))
- tan^-1√x
Derivada de y=tan(×)^tan(x)
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
tan(x) / 2 / 2 \ \ tan (x)*\1 + tan (x) + \1 + tan (x)/*log(tan(x))/
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + \tan^{2}{\left(x \right)} + 1\right) \tan^{\tan{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 / 2 \\
tan(x) |/ 2 / 2 \ \ / 2 \ | 1 + tan (x) ||
tan (x)*|\1 + tan (x) + \1 + tan (x)/*log(tan(x))/ + \1 + tan (x)/*|2*tan(x) + ----------- + 2*log(tan(x))*tan(x)||
\ \ tan(x) //
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + 2 \log{\left(\tan{\left(x \right)} \right)} \tan{\left(x \right)} + 2 \tan{\left(x \right)}\right) + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2}\right) \tan^{\tan{\left(x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ / 2 \ \
| 3 | / 2 \ | / 2 \|
tan(x) |/ 2 / 2 \ \ / 2 \ | 2 \1 + tan (x)/ / 2 \ 2 | / 2 \ / 2 / 2 \ \ | 1 + tan (x) ||
tan (x)*|\1 + tan (x) + \1 + tan (x)/*log(tan(x))/ + \1 + tan (x)/*|8 + 12*tan (x) - -------------- + 2*\1 + tan (x)/*log(tan(x)) + 4*tan (x)*log(tan(x))| + 3*\1 + tan (x)/*\1 + tan (x) + \1 + tan (x)/*log(tan(x))/*|2*tan(x) + ----------- + 2*log(tan(x))*tan(x)||
| | 2 | \ tan(x) /|
\ \ tan (x) / /
$$\left(3 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + \tan^{2}{\left(x \right)} + 1\right) \left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + 2 \log{\left(\tan{\left(x \right)} \right)} \tan{\left(x \right)} + 2 \tan{\left(x \right)}\right) + \left(\tan^{2}{\left(x \right)} + 1\right) \left(- \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + 4 \log{\left(\tan{\left(x \right)} \right)} \tan^{2}{\left(x \right)} + 12 \tan^{2}{\left(x \right)} + 8\right) + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + \tan^{2}{\left(x \right)} + 1\right)^{3}\right) \tan^{\tan{\left(x \right)}}{\left(x \right)}$$
Gráfico