Sr Examen

Otras calculadoras

y=(x²+1)coth(x/3)
Derivada de la función/ (x/3)/ y=(x²+1)/ y=(x²+1)coth(x/3)

Derivada de y=(x²+1)coth(x/3)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
/ 2    \     /x\
\x  + 1/*coth|-|
             \3/
(x2+1)coth⁡(x3)\left(x^{2} + 1\right) \coth{\left(\frac{x}{3} \right)} 
(x^2 + 1)*coth(x/3)
Gráfica
02468-8-6-4-2-1010-500500
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                 2      
        /x\     x  + 1  
2*x*coth|-| - ----------
        \3/         2/x\
              3*sinh |-|
                     \3/
2xcoth⁡(x3)−x2+13sinh⁡2(x3)2 x \coth{\left(\frac{x}{3} \right)} - \frac{x^{2} + 1}{3 \sinh^{2}{\left(\frac{x}{3} \right)}}
Simplificar
Segunda derivada [src] 
  /               /     2\     /x\          \
  |               \1 + x /*cosh|-|          |
  |     2*x                    \3/       /x\|
2*|- ---------- + ---------------- + coth|-||
  |        2/x\            3/x\          \3/|
  |  3*sinh |-|      9*sinh |-|             |
  \         \3/             \3/             /
2(−2x3sinh⁡2(x3)+(x2+1)cosh⁡(x3)9sinh⁡3(x3)+coth⁡(x3))2 \left(- \frac{2 x}{3 \sinh^{2}{\left(\frac{x}{3} \right)}} + \frac{\left(x^{2} + 1\right) \cosh{\left(\frac{x}{3} \right)}}{9 \sinh^{3}{\left(\frac{x}{3} \right)}} + \coth{\left(\frac{x}{3} \right)}\right)
Simplificar
Tercera derivada [src] 
  /              /          2/x\\              \
  |              |    3*cosh |-||              |
  |     /     2\ |           \3/|              |
  |     \1 + x /*|1 - ----------|              |
  |              |         2/x\ |           /x\|
  |              |     sinh |-| |   2*x*cosh|-||
  |              \          \3/ /           \3/|
2*|-1 + ------------------------- + -----------|
  |                 27                     /x\ |
  |                                  3*sinh|-| |
  \                                        \3/ /
------------------------------------------------
                        2/x\                    
                    sinh |-|                    
                         \3/
2(2xcosh⁡(x3)3sinh⁡(x3)+(1−3cosh⁡2(x3)sinh⁡2(x3))(x2+1)27−1)sinh⁡2(x3)\frac{2 \left(\frac{2 x \cosh{\left(\frac{x}{3} \right)}}{3 \sinh{\left(\frac{x}{3} \right)}} + \frac{\left(1 - \frac{3 \cosh^{2}{\left(\frac{x}{3} \right)}}{\sinh^{2}{\left(\frac{x}{3} \right)}}\right) \left(x^{2} + 1\right)}{27} - 1\right)}{\sinh^{2}{\left(\frac{x}{3} \right)}}
Simplificar
Gráfico
Derivada de y=(x²+1)coth(x/3)
    © Sr Examen – Калькулятор