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xln^2*x*arcsin2x
Derivada de la función/ xln^2/ sin2x/ arcsin/ xln^2*x*arcsin2x

Derivada de xln^2*x*arcsin2x

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

Ha introducido [src] 
     2             
x*log (x)*asin(2*x)
xlog⁡(x)2asin⁡(2x)x \log{\left(x \right)}^{2} \operatorname{asin}{\left(2 x \right)} 
(x*log(x)^2)*asin(2*x)
Gráfica
02468-8-6-4-2-101002
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                         2    
/   2              \              2*x*log (x) 
\log (x) + 2*log(x)/*asin(2*x) + -------------
                                    __________
                                   /        2 
                                 \/  1 - 4*x
2xlog⁡(x)21−4x2+(log⁡(x)2+2log⁡(x))asin⁡(2x)\frac{2 x \log{\left(x \right)}^{2}}{\sqrt{1 - 4 x^{2}}} + \left(\log{\left(x \right)}^{2} + 2 \log{\left(x \right)}\right) \operatorname{asin}{\left(2 x \right)}
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Segunda derivada [src] 
  /                                                     2    2   \
  |(1 + log(x))*asin(2*x)   2*(2 + log(x))*log(x)    4*x *log (x)|
2*|---------------------- + --------------------- + -------------|
  |          x                     __________                 3/2|
  |                               /        2        /       2\   |
  \                             \/  1 - 4*x         \1 - 4*x /   /
2(4x2log⁡(x)2(1−4x2)32+2(log⁡(x)+2)log⁡(x)1−4x2+(log⁡(x)+1)asin⁡(2x)x)2 \left(\frac{4 x^{2} \log{\left(x \right)}^{2}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2 \left(\log{\left(x \right)} + 2\right) \log{\left(x \right)}}{\sqrt{1 - 4 x^{2}}} + \frac{\left(\log{\left(x \right)} + 1\right) \operatorname{asin}{\left(2 x \right)}}{x}\right)
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Tercera derivada [src] 
  /                                                   /           2  \                           \
  |                                              2    |       12*x   |                           |
  |                                       4*x*log (x)*|-1 + ---------|                           |
  |                                                   |             2|                           |
  |  asin(2*x)*log(x)    6*(1 + log(x))               \     -1 + 4*x /   12*x*(2 + log(x))*log(x)|
2*|- ---------------- + --------------- - ---------------------------- + ------------------------|
  |          2               __________                    3/2                          3/2      |
  |         x               /        2           /       2\                   /       2\         |
  \                     x*\/  1 - 4*x            \1 - 4*x /                   \1 - 4*x /         /
2(−4x(12x24x2−1−1)log⁡(x)2(1−4x2)32+12x(log⁡(x)+2)log⁡(x)(1−4x2)32+6(log⁡(x)+1)x1−4x2−log⁡(x)asin⁡(2x)x2)2 \left(- \frac{4 x \left(\frac{12 x^{2}}{4 x^{2} - 1} - 1\right) \log{\left(x \right)}^{2}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{12 x \left(\log{\left(x \right)} + 2\right) \log{\left(x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{6 \left(\log{\left(x \right)} + 1\right)}{x \sqrt{1 - 4 x^{2}}} - \frac{\log{\left(x \right)} \operatorname{asin}{\left(2 x \right)}}{x^{2}}\right)
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Gráfico
Derivada de xln^2*x*arcsin2x
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