Sr Examen

Otras calculadoras

е^arctg*(x-1)/(x+1)
Derivada de la función/ (x+1)/ arctg/ (x-1)/ е^arctg*(x-1)/(x+1)

Derivada de е^arctg*(x-1)/(x+1)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
 atan(x - 1)
E           
------------
   x + 1
eatan⁡(x−1)x+1\frac{e^{\operatorname{atan}{\left(x - 1 \right)}}}{x + 1} 
E^atan(x - 1)/(x + 1)
Gráfica
02468-8-6-4-2-1010-5050
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   atan(x - 1)         atan(x - 1)     
  e                   e                
- ------------ + ----------------------
           2     /           2\        
    (x + 1)      \1 + (x - 1) /*(x + 1)
eatan⁡(x−1)(x+1)((x−1)2+1)−eatan⁡(x−1)(x+1)2\frac{e^{\operatorname{atan}{\left(x - 1 \right)}}}{\left(x + 1\right) \left(\left(x - 1\right)^{2} + 1\right)} - \frac{e^{\operatorname{atan}{\left(x - 1 \right)}}}{\left(x + 1\right)^{2}}
Simplificar
Segunda derivada [src] 
/   2           -3 + 2*x                  2           \  atan(-1 + x)
|-------- - ---------------- - -----------------------|*e            
|       2                  2           /            2\|              
|(1 + x)    /            2\    (1 + x)*\1 + (-1 + x) /|              
\           \1 + (-1 + x) /                           /              
---------------------------------------------------------------------
                                1 + x
(−2x−3((x−1)2+1)2−2(x+1)((x−1)2+1)+2(x+1)2)eatan⁡(x−1)x+1\frac{\left(- \frac{2 x - 3}{\left(\left(x - 1\right)^{2} + 1\right)^{2}} - \frac{2}{\left(x + 1\right) \left(\left(x - 1\right)^{2} + 1\right)} + \frac{2}{\left(x + 1\right)^{2}}\right) e^{\operatorname{atan}{\left(x - 1 \right)}}}{x + 1}
Simplificar
Tercera derivada [src] 
/                                                             2                                                       \              
|                        1           6*(-1 + x)     8*(-1 + x)                                                        |              
|             -2 + ------------- - ------------- + -------------                                                      |              
|                              2               2               2                                                      |              
|     6            1 + (-1 + x)    1 + (-1 + x)    1 + (-1 + x)               6                     3*(-3 + 2*x)      |  atan(-1 + x)
|- -------- + -------------------------------------------------- + ------------------------ + ------------------------|*e            
|         3                                   2                           2 /            2\                          2|              
|  (1 + x)                     /            2\                     (1 + x) *\1 + (-1 + x) /           /            2\ |              
\                              \1 + (-1 + x) /                                                (1 + x)*\1 + (-1 + x) / /              
-------------------------------------------------------------------------------------------------------------------------------------
                                                                1 + x
(8(x−1)2(x−1)2+1−6(x−1)(x−1)2+1−2+1(x−1)2+1((x−1)2+1)2+3(2x−3)(x+1)((x−1)2+1)2+6(x+1)2((x−1)2+1)−6(x+1)3)eatan⁡(x−1)x+1\frac{\left(\frac{\frac{8 \left(x - 1\right)^{2}}{\left(x - 1\right)^{2} + 1} - \frac{6 \left(x - 1\right)}{\left(x - 1\right)^{2} + 1} - 2 + \frac{1}{\left(x - 1\right)^{2} + 1}}{\left(\left(x - 1\right)^{2} + 1\right)^{2}} + \frac{3 \left(2 x - 3\right)}{\left(x + 1\right) \left(\left(x - 1\right)^{2} + 1\right)^{2}} + \frac{6}{\left(x + 1\right)^{2} \left(\left(x - 1\right)^{2} + 1\right)} - \frac{6}{\left(x + 1\right)^{3}}\right) e^{\operatorname{atan}{\left(x - 1 \right)}}}{x + 1}
Simplificar
Gráfico
Derivada de е^arctg*(x-1)/(x+1)
    © Sr Examen – Калькулятор