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y=arctan(sinhx)
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Derivada de y=arctan(sinhx)

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
atan(sinh(x))
atan⁡(sinh⁡(x))\operatorname{atan}{\left(\sinh{\left(x \right)} \right)} 
atan(sinh(x))
Gráfica
02468-8-6-4-2-10105-5
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Primera derivada [src] 
  cosh(x)   
------------
        2   
1 + sinh (x)
cosh⁡(x)sinh⁡2(x)+1\frac{\cosh{\left(x \right)}}{\sinh^{2}{\left(x \right)} + 1}
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Segunda derivada [src] 
/           2    \        
|     2*cosh (x) |        
|1 - ------------|*sinh(x)
|            2   |        
\    1 + sinh (x)/        
--------------------------
               2          
       1 + sinh (x)
(1−2cosh⁡2(x)sinh⁡2(x)+1)sinh⁡(x)sinh⁡2(x)+1\frac{\left(1 - \frac{2 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)} + 1}\right) \sinh{\left(x \right)}}{\sinh^{2}{\left(x \right)} + 1}
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Tercera derivada [src] 
/           2              2             2        2   \        
|     6*sinh (x)     2*cosh (x)    8*cosh (x)*sinh (x)|        
|1 - ------------ - ------------ + -------------------|*cosh(x)
|            2              2                      2  |        
|    1 + sinh (x)   1 + sinh (x)     /        2   \   |        
\                                    \1 + sinh (x)/   /        
---------------------------------------------------------------
                                  2                            
                          1 + sinh (x)
(1−6sinh⁡2(x)sinh⁡2(x)+1−2cosh⁡2(x)sinh⁡2(x)+1+8sinh⁡2(x)cosh⁡2(x)(sinh⁡2(x)+1)2)cosh⁡(x)sinh⁡2(x)+1\frac{\left(1 - \frac{6 \sinh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)} + 1} - \frac{2 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)} + 1} + \frac{8 \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{\left(\sinh^{2}{\left(x \right)} + 1\right)^{2}}\right) \cosh{\left(x \right)}}{\sinh^{2}{\left(x \right)} + 1}
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Gráfico
Derivada de y=arctan(sinhx)
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