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+1
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Derivada de 2*sin(x)*cos(x)
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Derivada de x^(1/x)
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Derivada de x^(1/3)
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Expresiones idénticas
- coth^- uno (secx)
- co tangente de gente hiperbólica de en el grado menos 1(secx)
- co tangente de gente hiperbólica de en el grado menos uno (secx)
- coth-1(secx)
- coth-1secx
- coth^-1secx
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Expresiones semejantes
- coth^+1(secx)
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Expresiones con funciones
- Cotangente hiperbólica coth
- cothx
- coth(x)
- coth(x)/tanh(x)
- secx
- secx*tanx
- secx
- secxtanx
- secx/tanx
Derivada de coth^-1(secx)
Solución
Ha introducido
[src]
1 ------------ coth(sec(x))
$$\frac{1}{\coth{\left(\sec{\left(x \right)} \right)}}$$
1/coth(sec(x))
Primera derivada
[src]
sec(x)*tan(x)
---------------------------
2 2
coth (sec(x))*sinh (sec(x))
$$\frac{\tan{\left(x \right)} \sec{\left(x \right)}}{\sinh^{2}{\left(\sec{\left(x \right)} \right)} \coth^{2}{\left(\sec{\left(x \right)} \right)}}$$
Segunda derivada
[src]
/ 2 2 \
| 2 2*tan (x)*cosh(sec(x))*sec(x) 2*tan (x)*sec(x) |
|1 + 2*tan (x) - ----------------------------- + --------------------------|*sec(x)
| sinh(sec(x)) 2 |
\ coth(sec(x))*sinh (sec(x))/
-----------------------------------------------------------------------------------
2 2
coth (sec(x))*sinh (sec(x))
$$\frac{\left(2 \tan^{2}{\left(x \right)} - \frac{2 \tan^{2}{\left(x \right)} \cosh{\left(\sec{\left(x \right)} \right)} \sec{\left(x \right)}}{\sinh{\left(\sec{\left(x \right)} \right)}} + \frac{2 \tan^{2}{\left(x \right)} \sec{\left(x \right)}}{\sinh^{2}{\left(\sec{\left(x \right)} \right)} \coth{\left(\sec{\left(x \right)} \right)}} + 1\right) \sec{\left(x \right)}}{\sinh^{2}{\left(\sec{\left(x \right)} \right)} \coth^{2}{\left(\sec{\left(x \right)} \right)}}$$
Tercera derivada
[src]
/ 2 / 2 \ 2 2 2 2 / 2 \ 2 2 2 2 \
| 2 2 2 6*tan (x)*cosh(sec(x))*sec(x) 6*\1 + tan (x)/*cosh(sec(x))*sec(x) 6*cosh (sec(x))*sec (x)*tan (x) 6*tan (x)*sec(x) 6*\1 + tan (x)/*sec(x) 6*sec (x)*tan (x) 12*sec (x)*tan (x)*cosh(sec(x))|
|5 + 6*tan (x) - 2*sec (x)*tan (x) - ----------------------------- - ----------------------------------- + ------------------------------- + -------------------------- + -------------------------- + --------------------------- - -------------------------------|*sec(x)*tan(x)
| sinh(sec(x)) sinh(sec(x)) 2 2 2 2 4 3 |
\ sinh (sec(x)) coth(sec(x))*sinh (sec(x)) coth(sec(x))*sinh (sec(x)) coth (sec(x))*sinh (sec(x)) coth(sec(x))*sinh (sec(x)) /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
coth (sec(x))*sinh (sec(x))
$$\frac{\left(- \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \cosh{\left(\sec{\left(x \right)} \right)} \sec{\left(x \right)}}{\sinh{\left(\sec{\left(x \right)} \right)}} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \sec{\left(x \right)}}{\sinh^{2}{\left(\sec{\left(x \right)} \right)} \coth{\left(\sec{\left(x \right)} \right)}} - 2 \tan^{2}{\left(x \right)} \sec^{2}{\left(x \right)} + 6 \tan^{2}{\left(x \right)} - \frac{6 \tan^{2}{\left(x \right)} \cosh{\left(\sec{\left(x \right)} \right)} \sec{\left(x \right)}}{\sinh{\left(\sec{\left(x \right)} \right)}} + \frac{6 \tan^{2}{\left(x \right)} \cosh^{2}{\left(\sec{\left(x \right)} \right)} \sec^{2}{\left(x \right)}}{\sinh^{2}{\left(\sec{\left(x \right)} \right)}} + \frac{6 \tan^{2}{\left(x \right)} \sec{\left(x \right)}}{\sinh^{2}{\left(\sec{\left(x \right)} \right)} \coth{\left(\sec{\left(x \right)} \right)}} - \frac{12 \tan^{2}{\left(x \right)} \cosh{\left(\sec{\left(x \right)} \right)} \sec^{2}{\left(x \right)}}{\sinh^{3}{\left(\sec{\left(x \right)} \right)} \coth{\left(\sec{\left(x \right)} \right)}} + \frac{6 \tan^{2}{\left(x \right)} \sec^{2}{\left(x \right)}}{\sinh^{4}{\left(\sec{\left(x \right)} \right)} \coth^{2}{\left(\sec{\left(x \right)} \right)}} + 5\right) \tan{\left(x \right)} \sec{\left(x \right)}}{\sinh^{2}{\left(\sec{\left(x \right)} \right)} \coth^{2}{\left(\sec{\left(x \right)} \right)}}$$
Gráfico