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y=x*arctg(\sqrt(2x)-1)-(\sqrt(2x-1))/(2)
Derivada de la función/ y=x*arctg(\sqrt(2x)-1)-(\sqrt(2x-1))/(2)

Derivada de y=x*arctg(\sqrt(2x)-1)-(\sqrt(2x-1))/(2)

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
                        _________
      /  _____    \   \/ 2*x - 1 
x*atan\\/ 2*x  - 1/ - -----------
                           2
xatan⁡(2x−1)−2x−12x \operatorname{atan}{\left(\sqrt{2 x} - 1 \right)} - \frac{\sqrt{2 x - 1}}{2} 
x*atan(sqrt(2*x) - 1) - sqrt(2*x - 1)/2
Gráfica
02468-8-6-4-2-1010-2020
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                         ___   ___                          
        1              \/ 2 *\/ x              /  _____    \
- ------------- + ---------------------- + atan\\/ 2*x  - 1/
      _________     /                 2\                    
  2*\/ 2*x - 1      |    /  _____    \ |                    
                  2*\1 + \\/ 2*x  - 1/ /
2x2((2x−1)2+1)+atan⁡(2x−1)−122x−1\frac{\sqrt{2} \sqrt{x}}{2 \left(\left(\sqrt{2 x} - 1\right)^{2} + 1\right)} + \operatorname{atan}{\left(\sqrt{2 x} - 1 \right)} - \frac{1}{2 \sqrt{2 x - 1}}
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Segunda derivada [src] 
                              ___   ___                         ___             
       1               -1 + \/ 2 *\/ x                      3*\/ 2              
--------------- - -------------------------- + ---------------------------------
            3/2                            2           /                      2\
2*(-1 + 2*x)      /                      2\        ___ |    /       ___   ___\ |
                  |    /       ___   ___\ |    4*\/ x *\1 + \-1 + \/ 2 *\/ x / /
                  \1 + \-1 + \/ 2 *\/ x / /
−2x−1((2x−1)2+1)2+12(2x−1)32+324x((2x−1)2+1)- \frac{\sqrt{2} \sqrt{x} - 1}{\left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} + \frac{1}{2 \left(2 x - 1\right)^{\frac{3}{2}}} + \frac{3 \sqrt{2}}{4 \sqrt{x} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)}
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Tercera derivada [src] 
                                                                                                                                                         2   
                           /       ___   ___\                        ___                                ___                        ___ /       ___   ___\    
         3               3*\-1 + \/ 2 *\/ x /                    3*\/ 2                               \/ 2                     2*\/ 2 *\-1 + \/ 2 *\/ x /    
- --------------- - ------------------------------ - -------------------------------- - ---------------------------------- + --------------------------------
              5/2                                2          /                      2\                                    2                                  3
  2*(-1 + 2*x)          /                      2\       3/2 |    /       ___   ___\ |           /                      2\          /                      2\ 
                        |    /       ___   ___\ |    8*x   *\1 + \-1 + \/ 2 *\/ x / /       ___ |    /       ___   ___\ |      ___ |    /       ___   ___\ | 
                    2*x*\1 + \-1 + \/ 2 *\/ x / /                                       2*\/ x *\1 + \-1 + \/ 2 *\/ x / /    \/ x *\1 + \-1 + \/ 2 *\/ x / /
−32(2x−1)52−3(2x−1)2x((2x−1)2+1)2+22(2x−1)2x((2x−1)2+1)3−22x((2x−1)2+1)2−328x32((2x−1)2+1)- \frac{3}{2 \left(2 x - 1\right)^{\frac{5}{2}}} - \frac{3 \left(\sqrt{2} \sqrt{x} - 1\right)}{2 x \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} + \frac{2 \sqrt{2} \left(\sqrt{2} \sqrt{x} - 1\right)^{2}}{\sqrt{x} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{3}} - \frac{\sqrt{2}}{2 \sqrt{x} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} - \frac{3 \sqrt{2}}{8 x^{\frac{3}{2}} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)}
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Gráfico
Derivada de y=x*arctg(\sqrt(2x)-1)-(\sqrt(2x-1))/(2)
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