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y=x*arccosx+((x-1)^(2)/(x+1))-(3x)*(x^(2/3))
Derivada de la función/ y=x*arccosx+((x-1)^(2)/(x+1))-(3x)*(x^(2/3))

Derivada de y=x*arccosx+((x-1)^(2)/(x+1))-(3x)*(x^(2/3))

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

Ha introducido [src] 
                   2           
            (x - 1)         2/3
x*acos(x) + -------- - 3*x*x   
             x + 1
−x23⋅3x+(xacos⁡(x)+(x−1)2x+1)- x^{\frac{2}{3}} \cdot 3 x + \left(x \operatorname{acos}{\left(x \right)} + \frac{\left(x - 1\right)^{2}}{x + 1}\right) 
x*acos(x) + (x - 1)^2/(x + 1) - 3*x*x^(2/3)
Gráfica
02468-8-6-4-2-1010-1010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                           2          
     2/3   -2 + 2*x        x        (x - 1)           
- 5*x    + -------- - ----------- - -------- + acos(x)
            x + 1        ________          2          
                        /      2    (x + 1)           
                      \/  1 - x
−5x23−x1−x2−(x−1)2(x+1)2+acos⁡(x)+2x−2x+1- 5 x^{\frac{2}{3}} - \frac{x}{\sqrt{1 - x^{2}}} - \frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}} + \operatorname{acos}{\left(x \right)} + \frac{2 x - 2}{x + 1}
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Segunda derivada [src] 
                                        2                              2
       2          2        10          x        4*(-1 + x)   2*(-1 + x) 
- ----------- + ----- - ------- - ----------- - ---------- + -----------
     ________   1 + x     3 ___           3/2           2             3 
    /      2            3*\/ x    /     2\       (1 + x)       (1 + x)  
  \/  1 - x                       \1 - x /
−x2(1−x2)32+2(x−1)2(x+1)3−4(x−1)(x+1)2+2x+1−21−x2−103x3- \frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2 \left(x - 1\right)^{2}}{\left(x + 1\right)^{3}} - \frac{4 \left(x - 1\right)}{\left(x + 1\right)^{2}} + \frac{2}{x + 1} - \frac{2}{\sqrt{1 - x^{2}}} - \frac{10}{3 \sqrt[3]{x}}
Simplificar
Tercera derivada [src] 
                                2                        3                 
     6         10     6*(-1 + x)        4*x           3*x       12*(-1 + x)
- -------- + ------ - ----------- - ----------- - ----------- + -----------
         2      4/3            4            3/2           5/2            3 
  (1 + x)    9*x        (1 + x)     /     2\      /     2\        (1 + x)  
                                    \1 - x /      \1 - x /
−3x3(1−x2)52−4x(1−x2)32−6(x−1)2(x+1)4+12(x−1)(x+1)3−6(x+1)2+109x43- \frac{3 x^{3}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{4 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{6 \left(x - 1\right)^{2}}{\left(x + 1\right)^{4}} + \frac{12 \left(x - 1\right)}{\left(x + 1\right)^{3}} - \frac{6}{\left(x + 1\right)^{2}} + \frac{10}{9 x^{\frac{4}{3}}}
Simplificar
Gráfico
Derivada de y=x*arccosx+((x-1)^(2)/(x+1))-(3x)*(x^(2/3))
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