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y=arcsin^3(4x)*ctg(3x)

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  • Derivada de:
  • Derivada de b Derivada de b
  • Derivada de (3x+6)^2 Derivada de (3x+6)^2
  • Derivada de 2*y-4 Derivada de 2*y-4
  • Derivada de 1/rootx Derivada de 1/rootx

  • Expresiones idénticas

  • y=arcsin^ tres (4x)*ctg(3x)
  • y es igual a arc seno de al cubo (4x) multiplicar por ctg(3x)
  • y es igual a arc seno de en el grado tres (4x) multiplicar por ctg(3x)
  • y=arcsin3(4x)*ctg(3x)
  • y=arcsin34x*ctg3x
  • y=arcsin³(4x)*ctg(3x)
  • y=arcsin en el grado 3(4x)*ctg(3x)
  • y=arcsin^3(4x)ctg(3x)
  • y=arcsin3(4x)ctg(3x)
  • y=arcsin34xctg3x
  • y=arcsin^34xctg3x
Derivada de la función/ sin^3/ tg(3x)/ arcsin/ y=arcsin^3(4x)*ctg(3x)

Derivada de y=arcsin^3(4x)*ctg(3x)

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Ha introducido [src] 
    3              
asin (4*x)*cot(3*x)
cot⁡(3x)asin⁡3(4x)\cot{\left(3 x \right)} \operatorname{asin}^{3}{\left(4 x \right)} 
asin(4*x)^3*cot(3*x)
Gráfica
02468-8-6-4-2-1010-1010
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Primera derivada [src] 
                                       2              
    3      /          2     \   12*asin (4*x)*cot(3*x)
asin (4*x)*\-3 - 3*cot (3*x)/ + ----------------------
                                       ___________    
                                      /         2     
                                    \/  1 - 16*x
(−3cot⁡2(3x)−3)asin⁡3(4x)+12cot⁡(3x)asin⁡2(4x)1−16x2\left(- 3 \cot^{2}{\left(3 x \right)} - 3\right) \operatorname{asin}^{3}{\left(4 x \right)} + \frac{12 \cot{\left(3 x \right)} \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}
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Segunda derivada [src] 
  /                                                 /       2     \                                                  \          
  |   /      1        2*x*asin(4*x) \            12*\1 + cot (3*x)/*asin(4*x)         2      /       2     \         |          
6*|16*|- ---------- + --------------|*cot(3*x) - ---------------------------- + 3*asin (4*x)*\1 + cot (3*x)/*cot(3*x)|*asin(4*x)
  |   |           2              3/2|                      ___________                                               |          
  |   |  -1 + 16*x    /        2\   |                     /         2                                                |          
  \   \               \1 - 16*x /   /                   \/  1 - 16*x                                                 /
6(16(2xasin⁡(4x)(1−16x2)32−116x2−1)cot⁡(3x)+3(cot⁡2(3x)+1)cot⁡(3x)asin⁡2(4x)−12(cot⁡2(3x)+1)asin⁡(4x)1−16x2)asin⁡(4x)6 \left(16 \left(\frac{2 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \cot{\left(3 x \right)} + 3 \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot{\left(3 x \right)} \operatorname{asin}^{2}{\left(4 x \right)} - \frac{12 \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \operatorname{asin}{\left(4 x \right)}
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Tercera derivada [src] 
  /   /                       2                               2     2     \                                                                                                                                     2      /       2     \         \
  |   |      2            asin (4*x)     24*x*asin(4*x)   48*x *asin (4*x)|                /       2     \ /      1        2*x*asin(4*x) \                   3      /       2     \ /         2     \   108*asin (4*x)*\1 + cot (3*x)/*cot(3*x)|
6*|32*|-------------- + -------------- + -------------- + ----------------|*cot(3*x) - 144*\1 + cot (3*x)/*|- ---------- + --------------|*asin(4*x) - 9*asin (4*x)*\1 + cot (3*x)/*\1 + 3*cot (3*x)/ + ---------------------------------------|
  |   |           3/2              3/2               2                5/2 |                                |           2              3/2|                                                                              ___________            |
  |   |/        2\      /        2\      /         2\      /        2\    |                                |  -1 + 16*x    /        2\   |                                                                             /         2             |
  \   \\1 - 16*x /      \1 - 16*x /      \-1 + 16*x /      \1 - 16*x /    /                                \               \1 - 16*x /   /                                                                           \/  1 - 16*x              /
6(−144(2xasin⁡(4x)(1−16x2)32−116x2−1)(cot⁡2(3x)+1)asin⁡(4x)−9(cot⁡2(3x)+1)(3cot⁡2(3x)+1)asin⁡3(4x)+32(48x2asin⁡2(4x)(1−16x2)52+24xasin⁡(4x)(16x2−1)2+asin⁡2(4x)(1−16x2)32+2(1−16x2)32)cot⁡(3x)+108(cot⁡2(3x)+1)cot⁡(3x)asin⁡2(4x)1−16x2)6 \left(- 144 \left(\frac{2 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(4 x \right)} - 9 \left(\cot^{2}{\left(3 x \right)} + 1\right) \left(3 \cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}^{3}{\left(4 x \right)} + 32 \left(\frac{48 x^{2} \operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}}} + \frac{24 x \operatorname{asin}{\left(4 x \right)}}{\left(16 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) \cot{\left(3 x \right)} + \frac{108 \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot{\left(3 x \right)} \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right)
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Gráfico
Derivada de y=arcsin^3(4x)*ctg(3x)
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