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е^arcctgx-1/x+1

Derivada de е^arcctgx-1/x+1

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

Gráfico:

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Solución

Ha introducido [src]
 acot(x)   1    
E        - - + 1
           x    
$$\left(e^{\operatorname{acot}{\left(x \right)}} - \frac{1}{x}\right) + 1$$
E^acot(x) - 1/x + 1
Gráfica
Primera derivada [src]
      acot(x)
1    e       
-- - --------
 2         2 
x     1 + x  
$$- \frac{e^{\operatorname{acot}{\left(x \right)}}}{x^{2} + 1} + \frac{1}{x^{2}}$$
Segunda derivada [src]
         acot(x)        acot(x)
  2     e          2*x*e       
- -- + --------- + ------------
   3           2            2  
  x    /     2\     /     2\   
       \1 + x /     \1 + x /   
$$\frac{2 x e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{2}} + \frac{e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{2}} - \frac{2}{x^{3}}$$
Tercera derivada [src]
       acot(x)      acot(x)      2  acot(x)        acot(x)
6     e          2*e          8*x *e          6*x*e       
-- - --------- + ---------- - ------------- - ------------
 4           3           2              3              3  
x    /     2\    /     2\       /     2\       /     2\   
     \1 + x /    \1 + x /       \1 + x /       \1 + x /   
$$- \frac{8 x^{2} e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{3}} - \frac{6 x e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{3}} + \frac{2 e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{2}} - \frac{e^{\operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{3}} + \frac{6}{x^{4}}$$
Gráfico
Derivada de е^arcctgx-1/x+1