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y=1/(arcsin(sqrt(2x)))
Derivada de la función/ arcsin/ sqrt(2x)/ y=1/(arcsin(sqrt(2x)))

Derivada de y=1/(arcsin(sqrt(2x)))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
      1      
-------------
    /  _____\
asin\\/ 2*x /
1asin⁡(2x)\frac{1}{\operatorname{asin}{\left(\sqrt{2 x} \right)}} 
1/asin(sqrt(2*x))
Gráfica
02468-8-6-4-2-1010-2010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                ___               
             -\/ 2                
----------------------------------
    ___   _________     2/  _____\
2*\/ x *\/ 1 - 2*x *asin \\/ 2*x /
−22x1−2xasin⁡2(2x)- \frac{\sqrt{2}}{2 \sqrt{x} \sqrt{1 - 2 x} \operatorname{asin}^{2}{\left(\sqrt{2 x} \right)}}
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Segunda derivada [src] 
                                        ___                   ___       
              1                       \/ 2                  \/ 2        
- -------------------------- - -------------------- + ------------------
                   /  _____\       ___          3/2      3/2   _________
  x*(-1 + 2*x)*asin\\/ 2*x /   2*\/ x *(1 - 2*x)      4*x   *\/ 1 - 2*x 
------------------------------------------------------------------------
                                 2/  _____\                             
                             asin \\/ 2*x /
−1x(2x−1)asin⁡(2x)−22x(1−2x)32+24x321−2xasin⁡2(2x)\frac{- \frac{1}{x \left(2 x - 1\right) \operatorname{asin}{\left(\sqrt{2 x} \right)}} - \frac{\sqrt{2}}{2 \sqrt{x} \left(1 - 2 x\right)^{\frac{3}{2}}} + \frac{\sqrt{2}}{4 x^{\frac{3}{2}} \sqrt{1 - 2 x}}}{\operatorname{asin}^{2}{\left(\sqrt{2 x} \right)}}
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Tercera derivada [src] 
         ___                                                  ___                   ___                                                          ___              
       \/ 2                        3                      3*\/ 2                3*\/ 2                        3                              3*\/ 2               
------------------- + --------------------------- - -------------------- - ------------------ + ----------------------------- - ----------------------------------
   3/2          3/2               2     /  _____\       ___          5/2      5/2   _________      2                /  _____\      3/2          3/2     2/  _____\
2*x   *(1 - 2*x)      x*(-1 + 2*x) *asin\\/ 2*x /   2*\/ x *(1 - 2*x)      8*x   *\/ 1 - 2*x    2*x *(-1 + 2*x)*asin\\/ 2*x /   2*x   *(1 - 2*x)   *asin \\/ 2*x /
------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                              2/  _____\                                                                          
                                                                          asin \\/ 2*x /
3x(2x−1)2asin⁡(2x)+32x2(2x−1)asin⁡(2x)−322x(1−2x)52+22x32(1−2x)32−322x32(1−2x)32asin⁡2(2x)−328x521−2xasin⁡2(2x)\frac{\frac{3}{x \left(2 x - 1\right)^{2} \operatorname{asin}{\left(\sqrt{2 x} \right)}} + \frac{3}{2 x^{2} \left(2 x - 1\right) \operatorname{asin}{\left(\sqrt{2 x} \right)}} - \frac{3 \sqrt{2}}{2 \sqrt{x} \left(1 - 2 x\right)^{\frac{5}{2}}} + \frac{\sqrt{2}}{2 x^{\frac{3}{2}} \left(1 - 2 x\right)^{\frac{3}{2}}} - \frac{3 \sqrt{2}}{2 x^{\frac{3}{2}} \left(1 - 2 x\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(\sqrt{2 x} \right)}} - \frac{3 \sqrt{2}}{8 x^{\frac{5}{2}} \sqrt{1 - 2 x}}}{\operatorname{asin}^{2}{\left(\sqrt{2 x} \right)}}
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Gráfico
Derivada de y=1/(arcsin(sqrt(2x)))
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