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y=tan^-1(sinhx)
Derivada de la función/ y=tan/ sinhx/ y=tan^-1(sinhx)

Derivada de y=tan^-1(sinhx)

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
     1      
------------
tan(sinh(x))
1tan⁡(sinh⁡(x))\frac{1}{\tan{\left(\sinh{\left(x \right)} \right)}} 
1/tan(sinh(x))
Gráfica
02468-8-6-4-2-1010-200000200000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
 /       2         \         
-\1 + tan (sinh(x))/*cosh(x) 
-----------------------------
           2                 
        tan (sinh(x))
−(tan⁡2(sinh⁡(x))+1)cosh⁡(x)tan⁡2(sinh⁡(x))- \frac{\left(\tan^{2}{\left(\sinh{\left(x \right)} \right)} + 1\right) \cosh{\left(x \right)}}{\tan^{2}{\left(\sinh{\left(x \right)} \right)}}
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Segunda derivada [src] 
                    /                                    2    /       2         \\
/       2         \ |        2        sinh(x)      2*cosh (x)*\1 + tan (sinh(x))/|
\1 + tan (sinh(x))/*|- 2*cosh (x) - ------------ + ------------------------------|
                    |               tan(sinh(x))              2                  |
                    \                                      tan (sinh(x))         /
----------------------------------------------------------------------------------
                                   tan(sinh(x))
(tan⁡2(sinh⁡(x))+1)(2(tan⁡2(sinh⁡(x))+1)cosh⁡2(x)tan⁡2(sinh⁡(x))−2cosh⁡2(x)−sinh⁡(x)tan⁡(sinh⁡(x)))tan⁡(sinh⁡(x))\frac{\left(\tan^{2}{\left(\sinh{\left(x \right)} \right)} + 1\right) \left(\frac{2 \left(\tan^{2}{\left(\sinh{\left(x \right)} \right)} + 1\right) \cosh^{2}{\left(x \right)}}{\tan^{2}{\left(\sinh{\left(x \right)} \right)}} - 2 \cosh^{2}{\left(x \right)} - \frac{\sinh{\left(x \right)}}{\tan{\left(\sinh{\left(x \right)} \right)}}\right)}{\tan{\left(\sinh{\left(x \right)} \right)}}
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Tercera derivada [src] 
                    /                                                                   2                                                                           \        
                    |                                                /       2         \      2        /       2         \                  2    /       2         \|        
/       2         \ |        1               2       6*sinh(x)     6*\1 + tan (sinh(x))/ *cosh (x)   6*\1 + tan (sinh(x))/*sinh(x)   10*cosh (x)*\1 + tan (sinh(x))/|        
\1 + tan (sinh(x))/*|- ------------- - 4*cosh (x) - ------------ - ------------------------------- + ----------------------------- + -------------------------------|*cosh(x)
                    |     2                         tan(sinh(x))               4                                3                                2                  |        
                    \  tan (sinh(x))                                        tan (sinh(x))                    tan (sinh(x))                    tan (sinh(x))         /
(tan⁡2(sinh⁡(x))+1)(−6(tan⁡2(sinh⁡(x))+1)2cosh⁡2(x)tan⁡4(sinh⁡(x))+10(tan⁡2(sinh⁡(x))+1)cosh⁡2(x)tan⁡2(sinh⁡(x))+6(tan⁡2(sinh⁡(x))+1)sinh⁡(x)tan⁡3(sinh⁡(x))−4cosh⁡2(x)−6sinh⁡(x)tan⁡(sinh⁡(x))−1tan⁡2(sinh⁡(x)))cosh⁡(x)\left(\tan^{2}{\left(\sinh{\left(x \right)} \right)} + 1\right) \left(- \frac{6 \left(\tan^{2}{\left(\sinh{\left(x \right)} \right)} + 1\right)^{2} \cosh^{2}{\left(x \right)}}{\tan^{4}{\left(\sinh{\left(x \right)} \right)}} + \frac{10 \left(\tan^{2}{\left(\sinh{\left(x \right)} \right)} + 1\right) \cosh^{2}{\left(x \right)}}{\tan^{2}{\left(\sinh{\left(x \right)} \right)}} + \frac{6 \left(\tan^{2}{\left(\sinh{\left(x \right)} \right)} + 1\right) \sinh{\left(x \right)}}{\tan^{3}{\left(\sinh{\left(x \right)} \right)}} - 4 \cosh^{2}{\left(x \right)} - \frac{6 \sinh{\left(x \right)}}{\tan{\left(\sinh{\left(x \right)} \right)}} - \frac{1}{\tan^{2}{\left(\sinh{\left(x \right)} \right)}}\right) \cosh{\left(x \right)}
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Gráfico
Derivada de y=tan^-1(sinhx)
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