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y=(th2x)/(10^6-7x)
Derivada de la función/ y=(th2x)/(10^6-7x)

Derivada de y=(th2x)/(10^6-7x)

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

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Solución

Ha introducido [src] 
  tanh(2*x)  
-------------
1000000 - 7*x
tanh⁡(2x)1000000−7x\frac{\tanh{\left(2 x \right)}}{1000000 - 7 x} 
tanh(2*x)/(1000000 - 7*x)
Gráfica
02468-8-6-4-2-10100.000005-0.000005
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
          2                        
2 - 2*tanh (2*x)     7*tanh(2*x)   
---------------- + ----------------
 1000000 - 7*x                    2
                   (1000000 - 7*x)
2−2tanh⁡2(2x)1000000−7x+7tanh⁡(2x)(1000000−7x)2\frac{2 - 2 \tanh^{2}{\left(2 x \right)}}{1000000 - 7 x} + \frac{7 \tanh{\left(2 x \right)}}{\left(1000000 - 7 x\right)^{2}}
Simplificar
Segunda derivada [src] 
   /                                   /         2     \                    \
   |  /         2     \             14*\-1 + tanh (2*x)/      49*tanh(2*x)  |
-2*|4*\-1 + tanh (2*x)/*tanh(2*x) + -------------------- + -----------------|
   |                                   -1000000 + 7*x                      2|
   \                                                       (-1000000 + 7*x) /
-----------------------------------------------------------------------------
                                -1000000 + 7*x
−2(4(tanh⁡2(2x)−1)tanh⁡(2x)+14(tanh⁡2(2x)−1)7x−1000000+49tanh⁡(2x)(7x−1000000)2)7x−1000000- \frac{2 \left(4 \left(\tanh^{2}{\left(2 x \right)} - 1\right) \tanh{\left(2 x \right)} + \frac{14 \left(\tanh^{2}{\left(2 x \right)} - 1\right)}{7 x - 1000000} + \frac{49 \tanh{\left(2 x \right)}}{\left(7 x - 1000000\right)^{2}}\right)}{7 x - 1000000}
Simplificar
Tercera derivada [src] 
  /                                              /         2     \                          /         2     \          \
  |  /         2     \ /           2     \   294*\-1 + tanh (2*x)/     1029*tanh(2*x)    84*\-1 + tanh (2*x)/*tanh(2*x)|
2*|8*\-1 + tanh (2*x)/*\-1 + 3*tanh (2*x)/ + --------------------- + ----------------- + ------------------------------|
  |                                                            2                     3           -1000000 + 7*x        |
  \                                            (-1000000 + 7*x)      (-1000000 + 7*x)                                  /
------------------------------------------------------------------------------------------------------------------------
                                                     -1000000 + 7*x
2(8(tanh⁡2(2x)−1)(3tanh⁡2(2x)−1)+84(tanh⁡2(2x)−1)tanh⁡(2x)7x−1000000+294(tanh⁡2(2x)−1)(7x−1000000)2+1029tanh⁡(2x)(7x−1000000)3)7x−1000000\frac{2 \left(8 \left(\tanh^{2}{\left(2 x \right)} - 1\right) \left(3 \tanh^{2}{\left(2 x \right)} - 1\right) + \frac{84 \left(\tanh^{2}{\left(2 x \right)} - 1\right) \tanh{\left(2 x \right)}}{7 x - 1000000} + \frac{294 \left(\tanh^{2}{\left(2 x \right)} - 1\right)}{\left(7 x - 1000000\right)^{2}} + \frac{1029 \tanh{\left(2 x \right)}}{\left(7 x - 1000000\right)^{3}}\right)}{7 x - 1000000}
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Gráfico
Derivada de y=(th2x)/(10^6-7x)
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