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asin(2*x)*2-8*x+cosh(5*x)*log(8*x)-e-2
Derivada de la función/ asin(2*x)*2-8*x+cosh(5*x)*log(8*x)-e-2

Derivada de asin(2*x)*2-8*x+cosh(5*x)*log(8*x)-e-2

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
asin(2*x)*2 - 8*x + cosh(5*x)*log(8*x) - E - 2
(((−8x+2asin⁡(2x))+log⁡(8x)cosh⁡(5x))−e)−2\left(\left(\left(- 8 x + 2 \operatorname{asin}{\left(2 x \right)}\right) + \log{\left(8 x \right)} \cosh{\left(5 x \right)}\right) - e\right) - 2 
asin(2*x)*2 - 8*x + cosh(5*x)*log(8*x) - E - 2
Gráfica
02468-8-6-4-2-10101e23-5e22
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
           4         cosh(5*x)                       
-8 + ------------- + --------- + 5*log(8*x)*sinh(5*x)
        __________       x                           
       /        2                                    
     \/  1 - 4*x
5log⁡(8x)sinh⁡(5x)−8+41−4x2+cosh⁡(5x)x5 \log{\left(8 x \right)} \sinh{\left(5 x \right)} - 8 + \frac{4}{\sqrt{1 - 4 x^{2}}} + \frac{\cosh{\left(5 x \right)}}{x}
Simplificar
Segunda derivada [src] 
  cosh(5*x)   10*sinh(5*x)        16*x                            
- --------- + ------------ + ------------- + 25*cosh(5*x)*log(8*x)
       2           x                   3/2                        
      x                      /       2\                           
                             \1 - 4*x /
16x(1−4x2)32+25log⁡(8x)cosh⁡(5x)+10sinh⁡(5x)x−cosh⁡(5x)x2\frac{16 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + 25 \log{\left(8 x \right)} \cosh{\left(5 x \right)} + \frac{10 \sinh{\left(5 x \right)}}{x} - \frac{\cosh{\left(5 x \right)}}{x^{2}}
Simplificar
Tercera derivada [src] 
                                                                                              2   
      16        15*sinh(5*x)   2*cosh(5*x)   75*cosh(5*x)                                192*x    
------------- - ------------ + ----------- + ------------ + 125*log(8*x)*sinh(5*x) + -------------
          3/2         2              3            x                                            5/2
/       2\           x              x                                                /       2\   
\1 - 4*x /                                                                           \1 - 4*x /
192x2(1−4x2)52+125log⁡(8x)sinh⁡(5x)+16(1−4x2)32+75cosh⁡(5x)x−15sinh⁡(5x)x2+2cosh⁡(5x)x3\frac{192 x^{2}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + 125 \log{\left(8 x \right)} \sinh{\left(5 x \right)} + \frac{16}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{75 \cosh{\left(5 x \right)}}{x} - \frac{15 \sinh{\left(5 x \right)}}{x^{2}} + \frac{2 \cosh{\left(5 x \right)}}{x^{3}}
Simplificar
Gráfico
Derivada de asin(2*x)*2-8*x+cosh(5*x)*log(8*x)-e-2
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