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y=arcsin2xctgx-
Derivada de la función/ sin2x/ xctgx/ arcsin/ y=arcsin2xctgx-

Derivada de y=arcsin2xctgx-

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

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Solución

Ha introducido [src] 
asin(2*x)*cot(x)
$$\cot{\left(x \right)} \operatorname{asin}{\left(2 x \right)}$$ 
asin(2*x)*cot(x)
Gráfica
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
/        2   \                2*cot(x)  
\-1 - cot (x)/*asin(2*x) + -------------
                              __________
                             /        2 
                           \/  1 - 4*x
$$\left(- \cot^{2}{\left(x \right)} - 1\right) \operatorname{asin}{\left(2 x \right)} + \frac{2 \cot{\left(x \right)}}{\sqrt{1 - 4 x^{2}}}$$
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Segunda derivada [src] 
  /    /       2   \                                                 \
  |  2*\1 + cot (x)/   /       2   \                      4*x*cot(x) |
2*|- --------------- + \1 + cot (x)/*asin(2*x)*cot(x) + -------------|
  |      __________                                               3/2|
  |     /        2                                      /       2\   |
  \   \/  1 - 4*x                                       \1 - 4*x /   /
$$2 \left(\frac{4 x \cot{\left(x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} \operatorname{asin}{\left(2 x \right)} - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)}{\sqrt{1 - 4 x^{2}}}\right)$$
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Tercera derivada [src] 
  /                                                                   /           2  \                                \
  |                                                                   |       12*x   |                                |
  |                                                                 4*|-1 + ---------|*cot(x)                         |
  |                                                 /       2   \     |             2|            /       2   \       |
  |  /       2   \ /         2   \             12*x*\1 + cot (x)/     \     -1 + 4*x /          6*\1 + cot (x)/*cot(x)|
2*|- \1 + cot (x)/*\1 + 3*cot (x)/*asin(2*x) - ------------------ - ------------------------- + ----------------------|
  |                                                        3/2                      3/2                __________     |
  |                                              /       2\               /       2\                  /        2      |
  \                                              \1 - 4*x /               \1 - 4*x /                \/  1 - 4*x       /
$$2 \left(- \frac{12 x \left(\cot^{2}{\left(x \right)} + 1\right)}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \left(\cot^{2}{\left(x \right)} + 1\right) \left(3 \cot^{2}{\left(x \right)} + 1\right) \operatorname{asin}{\left(2 x \right)} + \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{\sqrt{1 - 4 x^{2}}} - \frac{4 \left(\frac{12 x^{2}}{4 x^{2} - 1} - 1\right) \cot{\left(x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right)$$
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Gráfico
Derivada de y=arcsin2xctgx-
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