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y=thx-((th^3)/3)x
Derivada de la función/ y=thx/ y=thx-((th^3)/3)x

Derivada de y=thx-((th^3)/3)x

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
              3     
          tanh (x)  
tanh(x) - --------*x
             3
−xtanh⁡3(x)3+tanh⁡(x)- x \frac{\tanh^{3}{\left(x \right)}}{3} + \tanh{\left(x \right)} 
tanh(x) - tanh(x)^3/3*x
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                   3            2    /          2   \
        2      tanh (x)   x*tanh (x)*\3 - 3*tanh (x)/
1 - tanh (x) - -------- - ---------------------------
                  3                    3
−x(3−3tanh⁡2(x))tanh⁡2(x)3−tanh⁡3(x)3−tanh⁡2(x)+1- \frac{x \left(3 - 3 \tanh^{2}{\left(x \right)}\right) \tanh^{2}{\left(x \right)}}{3} - \frac{\tanh^{3}{\left(x \right)}}{3} - \tanh^{2}{\left(x \right)} + 1
Simplificar
Segunda derivada [src] 
  /         2   \ /          2        /         2   \          \        
2*\-1 + tanh (x)/*\1 - x*tanh (x) - x*\-1 + tanh (x)/ + tanh(x)/*tanh(x)
2(tanh⁡2(x)−1)(−x(tanh⁡2(x)−1)−xtanh⁡2(x)+tanh⁡(x)+1)tanh⁡(x)2 \left(\tanh^{2}{\left(x \right)} - 1\right) \left(- x \left(\tanh^{2}{\left(x \right)} - 1\right) - x \tanh^{2}{\left(x \right)} + \tanh{\left(x \right)} + 1\right) \tanh{\left(x \right)}
Simplificar
Tercera derivada [src] 
                  /                                               2                                                                          \
  /         2   \ |          2            3        /         2   \      /         2   \                   4              2    /         2   \|
2*\-1 + tanh (x)/*\1 - 3*tanh (x) - 3*tanh (x) + x*\-1 + tanh (x)/  - 3*\-1 + tanh (x)/*tanh(x) + 2*x*tanh (x) + 7*x*tanh (x)*\-1 + tanh (x)//
2(tanh⁡2(x)−1)(x(tanh⁡2(x)−1)2+7x(tanh⁡2(x)−1)tanh⁡2(x)+2xtanh⁡4(x)−3(tanh⁡2(x)−1)tanh⁡(x)−3tanh⁡3(x)−3tanh⁡2(x)+1)2 \left(\tanh^{2}{\left(x \right)} - 1\right) \left(x \left(\tanh^{2}{\left(x \right)} - 1\right)^{2} + 7 x \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh^{2}{\left(x \right)} + 2 x \tanh^{4}{\left(x \right)} - 3 \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh{\left(x \right)} - 3 \tanh^{3}{\left(x \right)} - 3 \tanh^{2}{\left(x \right)} + 1\right)
Simplificar
Gráfico
Derivada de y=thx-((th^3)/3)x
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