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(π−2arctan√x)√x
Derivada de la función/ tan√x/ arctan/ (π−2arctan√x)√x

Derivada de (π−2arctan√x)√x

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

Gráfico:

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Solución

Ha introducido [src] 
/           /  ___\\   ___
\pi - 2*atan\\/ x //*\/ x
x(π−2atan⁡(x))\sqrt{x} \left(\pi - 2 \operatorname{atan}{\left(\sqrt{x} \right)}\right) 
(pi - 2*atan(sqrt(x)))*sqrt(x)
Gráfica
02468-8-6-4-2-1010010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                     /  ___\
    1     pi - 2*atan\\/ x /
- ----- + ------------------
  1 + x            ___      
               2*\/ x
−1x+1+π−2atan⁡(x)2x- \frac{1}{x + 1} + \frac{\pi - 2 \operatorname{atan}{\left(\sqrt{x} \right)}}{2 \sqrt{x}}
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Segunda derivada [src] 
1     2                                    
- + -----                           /  ___\
x   1 + x       1       -pi + 2*atan\\/ x /
--------- - --------- + -------------------
2*(1 + x)   x*(1 + x)             3/2      
                               4*x
2x+1+1x2(x+1)−1x(x+1)+2atan⁡(x)−π4x32\frac{\frac{2}{x + 1} + \frac{1}{x}}{2 \left(x + 1\right)} - \frac{1}{x \left(x + 1\right)} + \frac{2 \operatorname{atan}{\left(\sqrt{x} \right)} - \pi}{4 x^{\frac{3}{2}}}
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Tercera derivada [src] 
                              /3       8           4    \                             
                            2*|-- + -------- + ---------|                  /1     2  \
    /            /  ___\\     | 2          2   x*(1 + x)|                6*|- + -----|
  3*\-pi + 2*atan\\/ x //     \x    (1 + x)             /       6          \x   1 + x/
- ----------------------- - ----------------------------- + ---------- + -------------
             5/2                        1 + x                2             x*(1 + x)  
            x                                               x *(1 + x)                
--------------------------------------------------------------------------------------
                                          8
−2(8(x+1)2+4x(x+1)+3x2)x+1+6(2x+1+1x)x(x+1)+6x2(x+1)−3(2atan⁡(x)−π)x528\frac{- \frac{2 \left(\frac{8}{\left(x + 1\right)^{2}} + \frac{4}{x \left(x + 1\right)} + \frac{3}{x^{2}}\right)}{x + 1} + \frac{6 \left(\frac{2}{x + 1} + \frac{1}{x}\right)}{x \left(x + 1\right)} + \frac{6}{x^{2} \left(x + 1\right)} - \frac{3 \left(2 \operatorname{atan}{\left(\sqrt{x} \right)} - \pi\right)}{x^{\frac{5}{2}}}}{8}
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Gráfico
Derivada de (π−2arctan√x)√x
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