Sr Examen

Otras calculadoras

y=sinhx/(1+coshx)
Derivada de la función/ coshx/ sinhx/ y=sin/ y=sinhx/(1+coshx)

Derivada de y=sinhx/(1+coshx)

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  sinh(x)  
-----------
1 + cosh(x)
sinh⁡(x)cosh⁡(x)+1\frac{\sinh{\left(x \right)}}{\cosh{\left(x \right)} + 1} 
sinh(x)/(1 + cosh(x))
Gráfica
02468-8-6-4-2-10102-2
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                     2      
  cosh(x)        sinh (x)   
----------- - --------------
1 + cosh(x)                2
              (1 + cosh(x))
cosh⁡(x)cosh⁡(x)+1−sinh⁡2(x)(cosh⁡(x)+1)2\frac{\cosh{\left(x \right)}}{\cosh{\left(x \right)} + 1} - \frac{\sinh^{2}{\left(x \right)}}{\left(\cosh{\left(x \right)} + 1\right)^{2}}
Simplificar
Segunda derivada [src] 
/             2                           \        
|       2*sinh (x)                        |        
|    - ----------- + cosh(x)              |        
|      1 + cosh(x)              2*cosh(x) |        
|1 - ----------------------- - -----------|*sinh(x)
\          1 + cosh(x)         1 + cosh(x)/        
---------------------------------------------------
                    1 + cosh(x)
(1−cosh⁡(x)−2sinh⁡2(x)cosh⁡(x)+1cosh⁡(x)+1−2cosh⁡(x)cosh⁡(x)+1)sinh⁡(x)cosh⁡(x)+1\frac{\left(1 - \frac{\cosh{\left(x \right)} - \frac{2 \sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1}}{\cosh{\left(x \right)} + 1} - \frac{2 \cosh{\left(x \right)}}{\cosh{\left(x \right)} + 1}\right) \sinh{\left(x \right)}}{\cosh{\left(x \right)} + 1}
Simplificar
Tercera derivada [src] 
                         /                          2     \                                                
                    2    |     6*cosh(x)      6*sinh (x)  |     /         2             \                  
                sinh (x)*|1 - ----------- + --------------|     |   2*sinh (x)          |                  
         2               |    1 + cosh(x)                2|   3*|- ----------- + cosh(x)|*cosh(x)          
   3*sinh (x)            \                  (1 + cosh(x)) /     \  1 + cosh(x)          /                  
- ----------- - ------------------------------------------- - ----------------------------------- + cosh(x)
  1 + cosh(x)                   1 + cosh(x)                               1 + cosh(x)                      
-----------------------------------------------------------------------------------------------------------
                                                1 + cosh(x)
cosh⁡(x)−3(cosh⁡(x)−2sinh⁡2(x)cosh⁡(x)+1)cosh⁡(x)cosh⁡(x)+1−(1−6cosh⁡(x)cosh⁡(x)+1+6sinh⁡2(x)(cosh⁡(x)+1)2)sinh⁡2(x)cosh⁡(x)+1−3sinh⁡2(x)cosh⁡(x)+1cosh⁡(x)+1\frac{\cosh{\left(x \right)} - \frac{3 \left(\cosh{\left(x \right)} - \frac{2 \sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\right) \cosh{\left(x \right)}}{\cosh{\left(x \right)} + 1} - \frac{\left(1 - \frac{6 \cosh{\left(x \right)}}{\cosh{\left(x \right)} + 1} + \frac{6 \sinh^{2}{\left(x \right)}}{\left(\cosh{\left(x \right)} + 1\right)^{2}}\right) \sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1} - \frac{3 \sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1}}{\cosh{\left(x \right)} + 1}
Simplificar
Gráfico
Derivada de y=sinhx/(1+coshx)
    © Sr Examen – Калькулятор