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asin(x)*sin(x*x)*11-11

Derivada de asin(x)*sin(x*x)*11-11

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

Ha introducido [src]
asin(x)*sin(x*x)*11 - 11
$$11 \sin{\left(x x \right)} \operatorname{asin}{\left(x \right)} - 11$$
(asin(x)*sin(x*x))*11 - 11
Gráfica
Primera derivada [src]
11*sin(x*x)                        
----------- + 22*x*asin(x)*cos(x*x)
   ________                        
  /      2                         
\/  1 - x                          
$$22 x \cos{\left(x x \right)} \operatorname{asin}{\left(x \right)} + \frac{11 \sin{\left(x x \right)}}{\sqrt{1 - x^{2}}}$$
Segunda derivada [src]
   /                          / 2\                                  / 2\\
   |             / 2\    x*sin\x /       2            / 2\   4*x*cos\x /|
11*|2*asin(x)*cos\x / + ----------- - 4*x *asin(x)*sin\x / + -----------|
   |                            3/2                             ________|
   |                    /     2\                               /      2 |
   \                    \1 - x /                             \/  1 - x  /
$$11 \left(- 4 x^{2} \sin{\left(x^{2} \right)} \operatorname{asin}{\left(x \right)} + \frac{4 x \cos{\left(x^{2} \right)}}{\sqrt{1 - x^{2}}} + \frac{x \sin{\left(x^{2} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 \cos{\left(x^{2} \right)} \operatorname{asin}{\left(x \right)}\right)$$
Tercera derivada [src]
   /     / 2\           / 2\                               2    / 2\                             2    / 2\      2    / 2\\
   |  sin\x /      6*cos\x /                    / 2\   12*x *sin\x /      3            / 2\   3*x *sin\x /   6*x *cos\x /|
11*|----------- + ----------- - 12*x*asin(x)*sin\x / - ------------- - 8*x *asin(x)*cos\x / + ------------ + ------------|
   |        3/2      ________                              ________                                   5/2            3/2 |
   |/     2\        /      2                              /      2                            /     2\       /     2\    |
   \\1 - x /      \/  1 - x                             \/  1 - x                             \1 - x /       \1 - x /    /
$$11 \left(- 8 x^{3} \cos{\left(x^{2} \right)} \operatorname{asin}{\left(x \right)} - \frac{12 x^{2} \sin{\left(x^{2} \right)}}{\sqrt{1 - x^{2}}} + \frac{6 x^{2} \cos{\left(x^{2} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 x^{2} \sin{\left(x^{2} \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - 12 x \sin{\left(x^{2} \right)} \operatorname{asin}{\left(x \right)} + \frac{6 \cos{\left(x^{2} \right)}}{\sqrt{1 - x^{2}}} + \frac{\sin{\left(x^{2} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)$$
Gráfico
Derivada de asin(x)*sin(x*x)*11-11