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y=(arcsin4x+x^3)^2
Derivada de la función/ x+x^3/ sin4x/ arcsin/ y=(arcsin4x+x^3)^2

Derivada de y=(arcsin4x+x^3)^2

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
                2
/             3\ 
\asin(4*x) + x /
(x3+asin⁡(4x))2\left(x^{3} + \operatorname{asin}{\left(4 x \right)}\right)^{2} 
(asin(4*x) + x^3)^2
Gráfica
02468-8-6-4-2-1010-1010
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Primera derivada [src] 
/   2         8       \ /             3\
|6*x  + --------------|*\asin(4*x) + x /
|          ___________|                 
|         /         2 |                 
\       \/  1 - 16*x  /
(6x2+81−16x2)(x3+asin⁡(4x))\left(6 x^{2} + \frac{8}{\sqrt{1 - 16 x^{2}}}\right) \left(x^{3} + \operatorname{asin}{\left(4 x \right)}\right)
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Segunda derivada [src] 
  /                       2                                            \
  |/   2         4       \        /          32      \ / 3            \|
2*||3*x  + --------------|  + 2*x*|3 + --------------|*\x  + asin(4*x)/|
  ||          ___________|        |               3/2|                 |
  ||         /         2 |        |    /        2\   |                 |
  \\       \/  1 - 16*x  /        \    \1 - 16*x /   /                 /
2(2x(3+32(1−16x2)32)(x3+asin⁡(4x))+(3x2+41−16x2)2)2 \left(2 x \left(3 + \frac{32}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) \left(x^{3} + \operatorname{asin}{\left(4 x \right)}\right) + \left(3 x^{2} + \frac{4}{\sqrt{1 - 16 x^{2}}}\right)^{2}\right)
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Tercera derivada [src] 
  /                 /                              2    \                                                   \
  |/ 3            \ |          32            1536*x     |       /          32      \ /   2         4       \|
4*|\x  + asin(4*x)/*|3 + -------------- + --------------| + 3*x*|3 + --------------|*|3*x  + --------------||
  |                 |               3/2              5/2|       |               3/2| |          ___________||
  |                 |    /        2\      /        2\   |       |    /        2\   | |         /         2 ||
  \                 \    \1 - 16*x /      \1 - 16*x /   /       \    \1 - 16*x /   / \       \/  1 - 16*x  //
4(3x(3+32(1−16x2)32)(3x2+41−16x2)+(x3+asin⁡(4x))(1536x2(1−16x2)52+3+32(1−16x2)32))4 \left(3 x \left(3 + \frac{32}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) \left(3 x^{2} + \frac{4}{\sqrt{1 - 16 x^{2}}}\right) + \left(x^{3} + \operatorname{asin}{\left(4 x \right)}\right) \left(\frac{1536 x^{2}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}}} + 3 + \frac{32}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right)\right)
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Gráfico
Derivada de y=(arcsin4x+x^3)^2
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