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asin(2*x)^(3)
Derivada de la función/ sin(2*x)/ asin(2*x)^(3)

Derivada de asin(2*x)^(3)

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
    3     
asin (2*x)
asin⁡3(2x)\operatorname{asin}^{3}{\left(2 x \right)} 
asin(2*x)^3
Gráfica
02468-8-6-4-2-10105-5
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Trazar el gráfico f'(x)
Primera derivada [src] 
       2     
 6*asin (2*x)
-------------
   __________
  /        2 
\/  1 - 4*x
6asin⁡2(2x)1−4x2\frac{6 \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}
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Segunda derivada [src] 
   /      1        x*asin(2*x) \          
24*|- --------- + -------------|*asin(2*x)
   |          2             3/2|          
   |  -1 + 4*x    /       2\   |          
   \              \1 - 4*x /   /
24(xasin⁡(2x)(1−4x2)32−14x2−1)asin⁡(2x)24 \left(\frac{x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \operatorname{asin}{\left(2 x \right)}
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Tercera derivada [src] 
   /                      2                              2     2     \
   |      2           asin (2*x)    12*x*asin(2*x)   12*x *asin (2*x)|
24*|------------- + ------------- + -------------- + ----------------|
   |          3/2             3/2               2               5/2  |
   |/       2\      /       2\       /        2\      /       2\     |
   \\1 - 4*x /      \1 - 4*x /       \-1 + 4*x /      \1 - 4*x /     /
24(12x2asin⁡2(2x)(1−4x2)52+12xasin⁡(2x)(4x2−1)2+asin⁡2(2x)(1−4x2)32+2(1−4x2)32)24 \left(\frac{12 x^{2} \operatorname{asin}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{12 x \operatorname{asin}{\left(2 x \right)}}{\left(4 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right)
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Gráfico
Derivada de asin(2*x)^(3)
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