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y=x^2arctgx-2^x+3√(x^5)-8

Derivada de y=x^2arctgx-2^x+3√(x^5)-8

Función f() - derivada -er orden en el punto
v

Gráfico:

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Solución

Ha introducido [src]
                       ____    
 2            x       /  5     
x *acot(x) - 2  + 3*\/  x   - 8
$$\left(\left(- 2^{x} + x^{2} \operatorname{acot}{\left(x \right)}\right) + 3 \sqrt{x^{5}}\right) - 8$$
x^2*acot(x) - 2^x + 3*sqrt(x^5) - 8
Gráfica
Primera derivada [src]
                                           ____
                 2                        /  5 
   x            x                    15*\/  x  
- 2 *log(2) - ------ + 2*x*acot(x) + ----------
                   2                    2*x    
              1 + x                            
$$- 2^{x} \log{\left(2 \right)} - \frac{x^{2}}{x^{2} + 1} + 2 x \operatorname{acot}{\left(x \right)} + \frac{15 \sqrt{x^{5}}}{2 x}$$
Segunda derivada [src]
                                                    ____
                                        3          /  5 
             x    2       4*x        2*x      45*\/  x  
2*acot(x) - 2 *log (2) - ------ + --------- + ----------
                              2           2         2   
                         1 + x    /     2\       4*x    
                                  \1 + x /              
$$- 2^{x} \log{\left(2 \right)}^{2} + \frac{2 x^{3}}{\left(x^{2} + 1\right)^{2}} - \frac{4 x}{x^{2} + 1} + 2 \operatorname{acot}{\left(x \right)} + \frac{45 \sqrt{x^{5}}}{4 x^{2}}$$
Tercera derivada [src]
                                                      ____
                              4           2          /  5 
    6       x    3         8*x        14*x      45*\/  x  
- ------ - 2 *log (2) - --------- + --------- + ----------
       2                        3           2         3   
  1 + x                 /     2\    /     2\       8*x    
                        \1 + x /    \1 + x /              
$$- 2^{x} \log{\left(2 \right)}^{3} - \frac{8 x^{4}}{\left(x^{2} + 1\right)^{3}} + \frac{14 x^{2}}{\left(x^{2} + 1\right)^{2}} - \frac{6}{x^{2} + 1} + \frac{45 \sqrt{x^{5}}}{8 x^{3}}$$
Gráfico
Derivada de y=x^2arctgx-2^x+3√(x^5)-8