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y=x*arcsin(2*x-1/5)

Derivada de y=x*arcsin(2*x-1/5)

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Solución

Ha introducido [src]
x*asin(2*x - 1/5)
$$x \operatorname{asin}{\left(2 x - \frac{1}{5} \right)}$$
x*asin(2*x - 1/5)
Gráfica
Primera derivada [src]
         2*x                           
--------------------- + asin(2*x - 1/5)
   __________________                  
  /                2                   
\/  1 - (2*x - 1/5)                    
$$\frac{2 x}{\sqrt{1 - \left(2 x - \frac{1}{5}\right)^{2}}} + \operatorname{asin}{\left(2 x - \frac{1}{5} \right)}$$
Segunda derivada [src]
  /       x*(-1 + 10*x)    \
4*|1 + --------------------|
  |      /               2\|
  |      |    (-1 + 10*x) ||
  |    5*|1 - ------------||
  \      \         25     //
----------------------------
       __________________   
      /                2    
     /      (-1 + 10*x)     
    /   1 - ------------    
  \/             25         
$$\frac{4 \left(\frac{x \left(10 x - 1\right)}{5 \left(1 - \frac{\left(10 x - 1\right)^{2}}{25}\right)} + 1\right)}{\sqrt{1 - \frac{\left(10 x - 1\right)^{2}}{25}}}$$
Tercera derivada [src]
  /                /                    2  \\
  |  3             |       3*(-1 + 10*x)   ||
4*|- - + 6*x - 2*x*|-1 + ------------------||
  |  5             |                      2||
  \                \     -25 + (-1 + 10*x) //
---------------------------------------------
                              3/2            
            /               2\               
            |    (-1 + 10*x) |               
            |1 - ------------|               
            \         25     /               
$$\frac{4 \left(- 2 x \left(\frac{3 \left(10 x - 1\right)^{2}}{\left(10 x - 1\right)^{2} - 25} - 1\right) + 6 x - \frac{3}{5}\right)}{\left(1 - \frac{\left(10 x - 1\right)^{2}}{25}\right)^{\frac{3}{2}}}$$
Gráfico
Derivada de y=x*arcsin(2*x-1/5)