Sr Examen

Otras calculadoras

сth^2(x+1)*arccos1/x

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de e^(x/2) Derivada de e^(x/2)
  • Derivada de x^3*log(x) Derivada de x^3*log(x)
  • Derivada de x*e Derivada de x*e
  • Derivada de arctg(x) Derivada de arctg(x)

  • Expresiones idénticas

  • сth^ dos (x+ uno)*arccos1/x
  • сth al cuadrado (x más 1) multiplicar por arc coseno de 1 dividir por x
  • сth en el grado dos (x más uno) multiplicar por arc coseno de 1 dividir por x
  • сth2(x+1)*arccos1/x
  • сth2x+1*arccos1/x
  • сth²(x+1)*arccos1/x
  • сth en el grado 2(x+1)*arccos1/x
  • сth^2(x+1)arccos1/x
  • сth2(x+1)arccos1/x
  • сth2x+1arccos1/x
  • сth^2x+1arccos1/x
  • сth^2(x+1)*arccos1 dividir por x

  • Expresiones semejantes

  • сth^2(x-1)*arccos1/x
Derivada de la función/ (x+1)/ arccos/ сth^2(x+1)*arccos1/x

Derivada de сth^2(x+1)*arccos1/x

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
    2               
coth (x + 1)*acos(1)
--------------------
         x
coth⁡2(x+1)acos⁡(1)x\frac{\coth^{2}{\left(x + 1 \right)} \operatorname{acos}{\left(1 \right)}}{x} 
(coth(x + 1)^2*acos(1))/x
Gráfica
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
      2                                       
  coth (x + 1)*acos(1)   2*acos(1)*coth(x + 1)
- -------------------- - ---------------------
            2                      2          
           x                 x*sinh (x + 1)
−2coth⁡(x+1)acos⁡(1)xsinh⁡2(x+1)−coth⁡2(x+1)acos⁡(1)x2- \frac{2 \coth{\left(x + 1 \right)} \operatorname{acos}{\left(1 \right)}}{x \sinh^{2}{\left(x + 1 \right)}} - \frac{\coth^{2}{\left(x + 1 \right)} \operatorname{acos}{\left(1 \right)}}{x^{2}}
Simplificar
Segunda derivada [src] 
  /                    1                                                  \        
  |    2          ----------- + 2*cosh(1 + x)*coth(1 + x)                 |        
  |coth (1 + x)   sinh(1 + x)                               2*coth(1 + x) |        
2*|------------ + --------------------------------------- + --------------|*acos(1)
  |      2                          3                             2       |        
  \     x                       sinh (1 + x)                x*sinh (1 + x)/        
-----------------------------------------------------------------------------------
                                         x
2(2cosh⁡(x+1)coth⁡(x+1)+1sinh⁡(x+1)sinh⁡3(x+1)+2coth⁡(x+1)xsinh⁡2(x+1)+coth⁡2(x+1)x2)acos⁡(1)x\frac{2 \left(\frac{2 \cosh{\left(x + 1 \right)} \coth{\left(x + 1 \right)} + \frac{1}{\sinh{\left(x + 1 \right)}}}{\sinh^{3}{\left(x + 1 \right)}} + \frac{2 \coth{\left(x + 1 \right)}}{x \sinh^{2}{\left(x + 1 \right)}} + \frac{\coth^{2}{\left(x + 1 \right)}}{x^{2}}\right) \operatorname{acos}{\left(1 \right)}}{x}
Simplificar
3-я производная [src] 
   /  /                                     2                   \                                                                                 \        
   |  |               3*cosh(1 + x)   3*cosh (1 + x)*coth(1 + x)|                                                                                 |        
   |2*|-coth(1 + x) + ------------- + --------------------------|                      /     1                                 \                  |        
   |  |                    3                     2              |         2          3*|----------- + 2*cosh(1 + x)*coth(1 + x)|                  |        
   |  \                sinh (1 + x)          sinh (1 + x)       /   3*coth (1 + x)     \sinh(1 + x)                            /    6*coth(1 + x) |        
-2*|------------------------------------------------------------- + -------------- + ------------------------------------------- + ---------------|*acos(1)
   |                             2                                         3                              3                         2     2       |        
   \                         sinh (1 + x)                                 x                         x*sinh (1 + x)                 x *sinh (1 + x)/        
-----------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                             x
−2(2(−coth⁡(x+1)+3cosh⁡2(x+1)coth⁡(x+1)sinh⁡2(x+1)+3cosh⁡(x+1)sinh⁡3(x+1))sinh⁡2(x+1)+3(2cosh⁡(x+1)coth⁡(x+1)+1sinh⁡(x+1))xsinh⁡3(x+1)+6coth⁡(x+1)x2sinh⁡2(x+1)+3coth⁡2(x+1)x3)acos⁡(1)x- \frac{2 \left(\frac{2 \left(- \coth{\left(x + 1 \right)} + \frac{3 \cosh^{2}{\left(x + 1 \right)} \coth{\left(x + 1 \right)}}{\sinh^{2}{\left(x + 1 \right)}} + \frac{3 \cosh{\left(x + 1 \right)}}{\sinh^{3}{\left(x + 1 \right)}}\right)}{\sinh^{2}{\left(x + 1 \right)}} + \frac{3 \left(2 \cosh{\left(x + 1 \right)} \coth{\left(x + 1 \right)} + \frac{1}{\sinh{\left(x + 1 \right)}}\right)}{x \sinh^{3}{\left(x + 1 \right)}} + \frac{6 \coth{\left(x + 1 \right)}}{x^{2} \sinh^{2}{\left(x + 1 \right)}} + \frac{3 \coth^{2}{\left(x + 1 \right)}}{x^{3}}\right) \operatorname{acos}{\left(1 \right)}}{x}
Simplificar
Tercera derivada [src] 
   /  /                                     2                   \                                                                                 \        
   |  |               3*cosh(1 + x)   3*cosh (1 + x)*coth(1 + x)|                                                                                 |        
   |2*|-coth(1 + x) + ------------- + --------------------------|                      /     1                                 \                  |        
   |  |                    3                     2              |         2          3*|----------- + 2*cosh(1 + x)*coth(1 + x)|                  |        
   |  \                sinh (1 + x)          sinh (1 + x)       /   3*coth (1 + x)     \sinh(1 + x)                            /    6*coth(1 + x) |        
-2*|------------------------------------------------------------- + -------------- + ------------------------------------------- + ---------------|*acos(1)
   |                             2                                         3                              3                         2     2       |        
   \                         sinh (1 + x)                                 x                         x*sinh (1 + x)                 x *sinh (1 + x)/        
-----------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                             x
−2(2(−coth⁡(x+1)+3cosh⁡2(x+1)coth⁡(x+1)sinh⁡2(x+1)+3cosh⁡(x+1)sinh⁡3(x+1))sinh⁡2(x+1)+3(2cosh⁡(x+1)coth⁡(x+1)+1sinh⁡(x+1))xsinh⁡3(x+1)+6coth⁡(x+1)x2sinh⁡2(x+1)+3coth⁡2(x+1)x3)acos⁡(1)x- \frac{2 \left(\frac{2 \left(- \coth{\left(x + 1 \right)} + \frac{3 \cosh^{2}{\left(x + 1 \right)} \coth{\left(x + 1 \right)}}{\sinh^{2}{\left(x + 1 \right)}} + \frac{3 \cosh{\left(x + 1 \right)}}{\sinh^{3}{\left(x + 1 \right)}}\right)}{\sinh^{2}{\left(x + 1 \right)}} + \frac{3 \left(2 \cosh{\left(x + 1 \right)} \coth{\left(x + 1 \right)} + \frac{1}{\sinh{\left(x + 1 \right)}}\right)}{x \sinh^{3}{\left(x + 1 \right)}} + \frac{6 \coth{\left(x + 1 \right)}}{x^{2} \sinh^{2}{\left(x + 1 \right)}} + \frac{3 \coth^{2}{\left(x + 1 \right)}}{x^{3}}\right) \operatorname{acos}{\left(1 \right)}}{x}
Simplificar
Gráfico
Derivada de сth^2(x+1)*arccos1/x
    © Sr Examen – Калькулятор