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  • Derivada de:
  • Derivada de x/a
  • Derivada de 1/x^(1/2) Derivada de 1/x^(1/2)
  • Derivada de x^3/6 Derivada de x^3/6
  • Derivada de √x+2 Derivada de √x+2

  • Expresiones idénticas

  • y=arcsin^ tres (2x)*ctg7(x^ cuatro)
  • y es igual a arc seno de al cubo (2x) multiplicar por ctg7(x en el grado 4)
  • y es igual a arc seno de en el grado tres (2x) multiplicar por ctg7(x en el grado cuatro)
  • y=arcsin3(2x)*ctg7(x4)
  • y=arcsin32x*ctg7x4
  • y=arcsin³(2x)*ctg7(x⁴)
  • y=arcsin en el grado 3(2x)*ctg7(x en el grado 4)
  • y=arcsin^3(2x)ctg7(x^4)
  • y=arcsin3(2x)ctg7(x4)
  • y=arcsin32xctg7x4
  • y=arcsin^32xctg7x^4
Derivada de la función/ (x^4)/ sin^3/ arcsin/ y=arcsin^3(2x)*ctg7(x^4)

Derivada de y=arcsin^3(2x)*ctg7(x^4)

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

Gráfico:

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Solución

Ha introducido [src] 
    3              4
asin (2*x)*cot(7)*x
x4cot⁡(7)asin⁡3(2x)x^{4} \cot{\left(7 \right)} \operatorname{asin}^{3}{\left(2 x \right)} 
(asin(2*x)^3*cot(7))*x^4
Primera derivada [src] 
                            4     2            
   3     3               6*x *asin (2*x)*cot(7)
4*x *asin (2*x)*cot(7) + ----------------------
                                __________     
                               /        2      
                             \/  1 - 4*x
6x4cot⁡(7)asin⁡2(2x)1−4x2+4x3cot⁡(7)asin⁡3(2x)\frac{6 x^{4} \cot{\left(7 \right)} \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}} + 4 x^{3} \cot{\left(7 \right)} \operatorname{asin}^{3}{\left(2 x \right)}
Simplificar
Segunda derivada [src] 
    2 /    2           2 /      1        x*asin(2*x) \   4*x*asin(2*x)\                 
12*x *|asin (2*x) + 2*x *|- --------- + -------------| + -------------|*asin(2*x)*cot(7)
      |                  |          2             3/2|      __________|                 
      |                  |  -1 + 4*x    /       2\   |     /        2 |                 
      \                  \              \1 - 4*x /   /   \/  1 - 4*x  /
12x2(2x2(xasin⁡(2x)(1−4x2)32−14x2−1)+4xasin⁡(2x)1−4x2+asin⁡2(2x))cot⁡(7)asin⁡(2x)12 x^{2} \left(2 x^{2} \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) + \frac{4 x \operatorname{asin}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}} + \operatorname{asin}^{2}{\left(2 x \right)}\right) \cot{\left(7 \right)} \operatorname{asin}{\left(2 x \right)}
Simplificar
Tercera derivada [src] 
     /                /                      2                              2     2     \           2                                                     \       
     |    3         3 |      2           asin (2*x)    12*x*asin(2*x)   12*x *asin (2*x)|   9*x*asin (2*x)       2 /      1        x*asin(2*x) \          |       
24*x*|asin (2*x) + x *|------------- + ------------- + -------------- + ----------------| + -------------- + 12*x *|- --------- + -------------|*asin(2*x)|*cot(7)
     |                |          3/2             3/2               2               5/2  |      __________          |          2             3/2|          |       
     |                |/       2\      /       2\       /        2\      /       2\     |     /        2           |  -1 + 4*x    /       2\   |          |       
     \                \\1 - 4*x /      \1 - 4*x /       \-1 + 4*x /      \1 - 4*x /     /   \/  1 - 4*x            \              \1 - 4*x /   /          /
24x(x3(12x2asin⁡2(2x)(1−4x2)52+12xasin⁡(2x)(4x2−1)2+asin⁡2(2x)(1−4x2)32+2(1−4x2)32)+12x2(xasin⁡(2x)(1−4x2)32−14x2−1)asin⁡(2x)+9xasin⁡2(2x)1−4x2+asin⁡3(2x))cot⁡(7)24 x \left(x^{3} \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) + 12 x^{2} \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)} + \frac{9 x \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}} + \operatorname{asin}^{3}{\left(2 x \right)}\right) \cot{\left(7 \right)}
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