Sr Examen

Otras calculadoras

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
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
tanh(2*x)
---------
  6 - 7*x
10
tanh⁡(2x)106−7x\frac{\tanh{\left(2 x \right)}}{10^{6 - 7 x}} 
tanh(2*x)/10^(6 - 7*x)
Gráfica
02468-8-6-4-2-1010-2e652e65
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
  -6 + 7*x /          2     \       -12 + 14*x   6 - 7*x                  
10        *\2 - 2*tanh (2*x)/ + 7*10          *10       *log(10)*tanh(2*x)
7⋅106−7x1014x−12log⁡(10)tanh⁡(2x)+107x−6(2−2tanh⁡2(2x))7 \cdot 10^{6 - 7 x} 10^{14 x - 12} \log{\left(10 \right)} \tanh{\left(2 x \right)} + 10^{7 x - 6} \left(2 - 2 \tanh^{2}{\left(2 x \right)}\right)
Simplificar
Segunda derivada [src] 
  7*x /     /         2     \             /         2     \                   2              \
10   *\- 28*\-1 + tanh (2*x)/*log(10) + 8*\-1 + tanh (2*x)/*tanh(2*x) + 49*log (10)*tanh(2*x)/
----------------------------------------------------------------------------------------------
                                           1000000
107x(8(tanh⁡2(2x)−1)tanh⁡(2x)−28(tanh⁡2(2x)−1)log⁡(10)+49log⁡(10)2tanh⁡(2x))1000000\frac{10^{7 x} \left(8 \left(\tanh^{2}{\left(2 x \right)} - 1\right) \tanh{\left(2 x \right)} - 28 \left(\tanh^{2}{\left(2 x \right)} - 1\right) \log{\left(10 \right)} + 49 \log{\left(10 \right)}^{2} \tanh{\left(2 x \right)}\right)}{1000000}
Simplificar
Tercera derivada [src] 
  7*x /         2     /         2     \      /         2     \ /           2     \          3                     /         2     \                  \
10   *\- 294*log (10)*\-1 + tanh (2*x)/ - 16*\-1 + tanh (2*x)/*\-1 + 3*tanh (2*x)/ + 343*log (10)*tanh(2*x) + 168*\-1 + tanh (2*x)/*log(10)*tanh(2*x)/
------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                       1000000
107x(−16(tanh⁡2(2x)−1)(3tanh⁡2(2x)−1)+168(tanh⁡2(2x)−1)log⁡(10)tanh⁡(2x)−294(tanh⁡2(2x)−1)log⁡(10)2+343log⁡(10)3tanh⁡(2x))1000000\frac{10^{7 x} \left(- 16 \left(\tanh^{2}{\left(2 x \right)} - 1\right) \left(3 \tanh^{2}{\left(2 x \right)} - 1\right) + 168 \left(\tanh^{2}{\left(2 x \right)} - 1\right) \log{\left(10 \right)} \tanh{\left(2 x \right)} - 294 \left(\tanh^{2}{\left(2 x \right)} - 1\right) \log{\left(10 \right)}^{2} + 343 \log{\left(10 \right)}^{3} \tanh{\left(2 x \right)}\right)}{1000000}
Simplificar
Gráfico
Derivada de y=(th2x)/(10^(6-7x))
    © Sr Examen – Калькулятор