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lnarcsin2x
Derivada de la función/ sin2x/ arcsin/ lnarcsin2x

Derivada de lnarcsin2x

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

Gráfico:

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Solución

Ha introducido [src] 
log(asin(2*x))
log⁡(asin⁡(2x))\log{\left(\operatorname{asin}{\left(2 x \right)} \right)} 
log(asin(2*x))
Gráfica
02468-8-6-4-2-1010-2020
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Trazar el gráfico f'(x)
Primera derivada [src] 
           2           
-----------------------
   __________          
  /        2           
\/  1 - 4*x  *asin(2*x)
21−4x2asin⁡(2x)\frac{2}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}
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Segunda derivada [src] 
  /          1                  2*x     \
4*|--------------------- + -------------|
  |/        2\                       3/2|
  |\-1 + 4*x /*asin(2*x)   /       2\   |
  \                        \1 - 4*x /   /
-----------------------------------------
                asin(2*x)
4(2x(1−4x2)32+1(4x2−1)asin⁡(2x))asin⁡(2x)\frac{4 \left(\frac{2 x}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{1}{\left(4 x^{2} - 1\right) \operatorname{asin}{\left(2 x \right)}}\right)}{\operatorname{asin}{\left(2 x \right)}}
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Tercera derivada [src] 
  /                                                   2                             \
  |      1                    2                   12*x                 6*x          |
8*|------------- + ------------------------ + ------------- - ----------------------|
  |          3/2             3/2                        5/2              2          |
  |/       2\      /       2\        2        /       2\      /        2\           |
  \\1 - 4*x /      \1 - 4*x /   *asin (2*x)   \1 - 4*x /      \-1 + 4*x / *asin(2*x)/
-------------------------------------------------------------------------------------
                                      asin(2*x)
8(12x2(1−4x2)52−6x(4x2−1)2asin⁡(2x)+1(1−4x2)32+2(1−4x2)32asin⁡2(2x))asin⁡(2x)\frac{8 \left(\frac{12 x^{2}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} - \frac{6 x}{\left(4 x^{2} - 1\right)^{2} \operatorname{asin}{\left(2 x \right)}} + \frac{1}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(2 x \right)}}\right)}{\operatorname{asin}{\left(2 x \right)}}
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Gráfico
Derivada de lnarcsin2x
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