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/t
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Derivada de f(x)=√x
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Expresiones idénticas
- y=sh(ln(tg2x))
- y es igual a sh(ln(tg2x))
- y=shlntg2x
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Expresiones con funciones
- ln
- ln^2(2x-1)
- ln*(x+sqrt*(x^2+1))
- ln(√x)
- ln(x+1)/x^2
- ln(x^1/2)
Derivada de y=sh(ln(tg2x))
Solución
Ha introducido
[src]
sinh(log(tan(2*x)))
$$\sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}$$
sinh(log(tan(2*x)))
Primera derivada
[src]
/ 2 \
\2 + 2*tan (2*x)/*cosh(log(tan(2*x)))
-------------------------------------
tan(2*x)
$$\frac{\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}}$$
Segunda derivada
[src]
/ / 2 \ / 2 \ \
/ 2 \ | \1 + tan (2*x)/*sinh(log(tan(2*x))) \1 + tan (2*x)/*cosh(log(tan(2*x)))|
4*\1 + tan (2*x)/*|2*cosh(log(tan(2*x))) + ----------------------------------- - -----------------------------------|
| 2 2 |
\ tan (2*x) tan (2*x) /
$$4 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(\frac{\left(\tan^{2}{\left(2 x \right)} + 1\right) \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{2}{\left(2 x \right)}} - \frac{\left(\tan^{2}{\left(2 x \right)} + 1\right) \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{2}{\left(2 x \right)}} + 2 \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}\right)$$
Tercera derivada
[src]
/ 2 2 \
| / 2 \ / 2 \ / 2 \ / 2 \ |
/ 2 \ | 4*\1 + tan (2*x)/*cosh(log(tan(2*x))) 3*\1 + tan (2*x)/ *sinh(log(tan(2*x))) 3*\1 + tan (2*x)/ *cosh(log(tan(2*x))) 6*\1 + tan (2*x)/*sinh(log(tan(2*x)))|
8*\1 + tan (2*x)/*|4*cosh(log(tan(2*x)))*tan(2*x) - ------------------------------------- - -------------------------------------- + -------------------------------------- + -------------------------------------|
| tan(2*x) 3 3 tan(2*x) |
\ tan (2*x) tan (2*x) /
$$8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(- \frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{3}{\left(2 x \right)}} + \frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan^{3}{\left(2 x \right)}} + \frac{6 \left(\tan^{2}{\left(2 x \right)} + 1\right) \sinh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right) \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}}{\tan{\left(2 x \right)}} + 4 \tan{\left(2 x \right)} \cosh{\left(\log{\left(\tan{\left(2 x \right)} \right)} \right)}\right)$$
Gráfico