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y=6^(x^2-x)+cos4x-arcctg7x

Derivada de y=6^(x^2-x)+cos4x-arcctg7x

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

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Solución

Ha introducido [src]
  2                           
 x  - x                       
6       + cos(4*x) - acot(7*x)
$$\left(6^{x^{2} - x} + \cos{\left(4 x \right)}\right) - \operatorname{acot}{\left(7 x \right)}$$
6^(x^2 - x) + cos(4*x) - acot(7*x)
Gráfica
Primera derivada [src]
                            2                      
                  7        x  - x                  
-4*sin(4*x) + --------- + 6      *(-1 + 2*x)*log(6)
                      2                            
              1 + 49*x                             
$$6^{x^{2} - x} \left(2 x - 1\right) \log{\left(6 \right)} - 4 \sin{\left(4 x \right)} + \frac{7}{49 x^{2} + 1}$$
Segunda derivada [src]
                  686*x          x*(-1 + x)           x*(-1 + x)           2    2   
-16*cos(4*x) - ------------ + 2*6          *log(6) + 6          *(-1 + 2*x) *log (6)
                          2                                                         
               /        2\                                                          
               \1 + 49*x /                                                          
$$6^{x \left(x - 1\right)} \left(2 x - 1\right)^{2} \log{\left(6 \right)}^{2} + 2 \cdot 6^{x \left(x - 1\right)} \log{\left(6 \right)} - \frac{686 x}{\left(49 x^{2} + 1\right)^{2}} - 16 \cos{\left(4 x \right)}$$
Tercera derivada [src]
                                        2                                                                       
      686                       134456*x       x*(-1 + x)           3    3         x*(-1 + x)    2              
- ------------ + 64*sin(4*x) + ------------ + 6          *(-1 + 2*x) *log (6) + 6*6          *log (6)*(-1 + 2*x)
             2                            3                                                                     
  /        2\                  /        2\                                                                      
  \1 + 49*x /                  \1 + 49*x /                                                                      
$$6^{x \left(x - 1\right)} \left(2 x - 1\right)^{3} \log{\left(6 \right)}^{3} + 6 \cdot 6^{x \left(x - 1\right)} \left(2 x - 1\right) \log{\left(6 \right)}^{2} + \frac{134456 x^{2}}{\left(49 x^{2} + 1\right)^{3}} + 64 \sin{\left(4 x \right)} - \frac{686}{\left(49 x^{2} + 1\right)^{2}}$$
Gráfico
Derivada de y=6^(x^2-x)+cos4x-arcctg7x