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*cos(3*x)
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Derivada de x^(7/6)
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Expresiones idénticas
- (√x)^(tg^2x)
- (√x) en el grado (tg al cuadrado x)
- (√x)(tg2x)
- √xtg2x
- (√x)^(tg²x)
- (√x) en el grado (tg en el grado 2x)
- √x^tg^2x
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Expresiones con funciones
- tg
- tg^2(3x)
- tg(cosx)
Derivada de (√x)^(tg^2x)
Solución
Ha introducido
[src]
2
tan (x)
___
\/ x
$$\left(\sqrt{x}\right)^{\tan^{2}{\left(x \right)}}$$
(sqrt(x))^(tan(x)^2)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
2
tan (x)
------- / 2 \
2 |tan (x) / 2 \ / ___\ |
x *|------- + \2 + 2*tan (x)/*log\\/ x /*tan(x)|
\ 2*x /
$$x^{\frac{\tan^{2}{\left(x \right)}}{2}} \left(\left(2 \tan^{2}{\left(x \right)} + 2\right) \log{\left(\sqrt{x} \right)} \tan{\left(x \right)} + \frac{\tan^{2}{\left(x \right)}}{2 x}\right)$$
Segunda derivada
[src]
2
tan (x) / 2 /tan(x) / 2 \ \ /tan(x) / 2 \ / ___\\\
------- | 2 2 / 2 \ tan (x)*|------ + 2*\1 + tan (x)/*log(x)|*|------ + 4*\1 + tan (x)/*log\\/ x /||
2 | / 2 \ / ___\ tan (x) 2*\1 + tan (x)/*tan(x) 2 / 2 \ / ___\ \ x / \ x /|
x *|2*\1 + tan (x)/ *log\\/ x / - ------- + ---------------------- + 4*tan (x)*\1 + tan (x)/*log\\/ x / + -------------------------------------------------------------------------------|
| 2 x 4 |
\ 2*x /
$$x^{\frac{\tan^{2}{\left(x \right)}}{2}} \left(\frac{\left(4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sqrt{x} \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \tan^{2}{\left(x \right)}}{4} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\sqrt{x} \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sqrt{x} \right)} \tan^{2}{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{\tan^{2}{\left(x \right)}}{2 x^{2}}\right)$$
Tercera derivada
[src]
/ / 2 2 / 2 \ \ / 2 2 / 2 \ \ \
2 | /tan(x) / 2 \ \ | tan (x) / 2 \ / ___\ 4*\1 + tan (x)/*tan(x) 2 / 2 \ / ___\| /tan(x) / 2 \ / ___\\ | tan (x) / 2 \ 4*\1 + tan (x)/*tan(x) 2 / 2 \ | 2 |
tan (x) | 2 |------ + 2*\1 + tan (x)/*log(x)|*|- ------- + 4*\1 + tan (x)/ *log\\/ x / + ---------------------- + 8*tan (x)*\1 + tan (x)/*log\\/ x /|*tan(x) |------ + 4*\1 + tan (x)/*log\\/ x /|*|- ------- + 2*\1 + tan (x)/ *log(x) + ---------------------- + 4*tan (x)*\1 + tan (x)/*log(x)|*tan(x) /tan(x) / 2 \ \ 3 /tan(x) / 2 \ / ___\\|
------- | 2 / 2 \ \ x / | 2 x | / 2 \ 2 / 2 \ 2 \ x / | 2 x | |------ + 2*\1 + tan (x)/*log(x)| *tan (x)*|------ + 4*\1 + tan (x)/*log\\/ x /||
2 |tan (x) 3*\1 + tan (x)/ \ x / 3*\1 + tan (x)/*tan(x) 6*tan (x)*\1 + tan (x)/ 3 / 2 \ / ___\ / 2 \ / ___\ \ x / \ x / \ x /|
x *|------- + ---------------- + ------------------------------------------------------------------------------------------------------------------------------------------------ - ---------------------- + ----------------------- + 8*tan (x)*\1 + tan (x)/*log\\/ x / + 16*\1 + tan (x)/ *log\\/ x /*tan(x) + -------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------|
| 3 x 2 2 x 4 8 |
\ x x /
$$x^{\frac{\tan^{2}{\left(x \right)}}{2}} \left(\frac{\left(4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sqrt{x} \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{2} \tan^{3}{\left(x \right)}}{8} + \frac{\left(4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sqrt{x} \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} + \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{\tan^{2}{\left(x \right)}}{x^{2}}\right) \tan{\left(x \right)}}{4} + \frac{\left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(4 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\sqrt{x} \right)} + 8 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sqrt{x} \right)} \tan^{2}{\left(x \right)} + \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{\tan^{2}{\left(x \right)}}{x^{2}}\right) \tan{\left(x \right)}}{2} + 16 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\sqrt{x} \right)} \tan{\left(x \right)} + 8 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sqrt{x} \right)} \tan^{3}{\left(x \right)} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{x} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{x} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x^{2}} + \frac{\tan^{2}{\left(x \right)}}{x^{3}}\right)$$
Gráfico