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y=arcsin(log(3)x2)
Derivada de la función/ log(3)/ arcsin/ y=arcsin(log(3)x2)

Derivada de y=arcsin(log(3)x2)

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Solución

Ha introducido [src] 
asin(log(3)*x2)
$$\operatorname{asin}{\left(x_{2} \log{\left(3 \right)} \right)}$$ 
asin(log(3)*x2)
Gráfica
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
       log(3)       
--------------------
   _________________
  /       2    2    
\/  1 - x2 *log (3)
$$\frac{\log{\left(3 \right)}}{\sqrt{- x_{2}^{2} \log{\left(3 \right)}^{2} + 1}}$$
Simplificar
Segunda derivada [src] 
           3        
     x2*log (3)     
--------------------
                 3/2
/      2    2   \   
\1 - x2 *log (3)/
$$\frac{x_{2} \log{\left(3 \right)}^{3}}{\left(- x_{2}^{2} \log{\left(3 \right)}^{2} + 1\right)^{\frac{3}{2}}}$$
Simplificar
Tercera derivada [src] 
        /         2    2    \
   3    |     3*x2 *log (3) |
log (3)*|1 + ---------------|
        |          2    2   |
        \    1 - x2 *log (3)/
-----------------------------
                      3/2    
     /      2    2   \       
     \1 - x2 *log (3)/
$$\frac{\left(\frac{3 x_{2}^{2} \log{\left(3 \right)}^{2}}{- x_{2}^{2} \log{\left(3 \right)}^{2} + 1} + 1\right) \log{\left(3 \right)}^{3}}{\left(- x_{2}^{2} \log{\left(3 \right)}^{2} + 1\right)^{\frac{3}{2}}}$$
Simplificar
Gráfico
Derivada de y=arcsin(log(3)x2)
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