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y=√1-x^4+x^2*arcsinx^2
Derivada de la función/ y=√1-x/ sinx^2/ arcsin/ x^4+x^2/ y=√1-x^4+x^2*arcsinx^2

Derivada de y=√1-x^4+x^2*arcsinx^2

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

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Solución

Ha introducido [src] 
  ___    4    2     2   
\/ 1  - x  + x *asin (x)
x2asin⁡2(x)+(−x4+1)x^{2} \operatorname{asin}^{2}{\left(x \right)} + \left(- x^{4} + \sqrt{1}\right) 
sqrt(1) - x^4 + x^2*asin(x)^2
Gráfica
02468-8-6-4-2-1010-1010
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Primera derivada [src] 
                           2        
     3           2      2*x *asin(x)
- 4*x  + 2*x*asin (x) + ------------
                           ________ 
                          /      2  
                        \/  1 - x
−4x3+2x2asin⁡(x)1−x2+2xasin⁡2(x)- 4 x^{3} + \frac{2 x^{2} \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}} + 2 x \operatorname{asin}^{2}{\left(x \right)}
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Segunda derivada [src] 
  /                      2       3                      \
  |    2         2      x       x *asin(x)   4*x*asin(x)|
2*|asin (x) - 6*x  - ------- + ----------- + -----------|
  |                        2           3/2      ________|
  |                  -1 + x    /     2\        /      2 |
  \                            \1 - x /      \/  1 - x  /
2(x3asin⁡(x)(1−x2)32−6x2−x2x2−1+4xasin⁡(x)1−x2+asin⁡2(x))2 \left(\frac{x^{3} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 6 x^{2} - \frac{x^{2}}{x^{2} - 1} + \frac{4 x \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}} + \operatorname{asin}^{2}{\left(x \right)}\right)
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3-я производная [src] 
  /                        3                       4              2        \
  |          6*x        3*x        6*asin(x)    3*x *asin(x)   7*x *asin(x)|
2*|-12*x - ------- + ---------- + ----------- + ------------ + ------------|
  |              2            2      ________           5/2            3/2 |
  |        -1 + x    /      2\      /      2    /     2\       /     2\    |
  \                  \-1 + x /    \/  1 - x     \1 - x /       \1 - x /    /
2(3x4asin⁡(x)(1−x2)52+3x3(x2−1)2+7x2asin⁡(x)(1−x2)32−12x−6xx2−1+6asin⁡(x)1−x2)2 \left(\frac{3 x^{4} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x^{3}}{\left(x^{2} - 1\right)^{2}} + \frac{7 x^{2} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 12 x - \frac{6 x}{x^{2} - 1} + \frac{6 \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right)
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Tercera derivada [src] 
  /                        3                       4              2        \
  |          6*x        3*x        6*asin(x)    3*x *asin(x)   7*x *asin(x)|
2*|-12*x - ------- + ---------- + ----------- + ------------ + ------------|
  |              2            2      ________           5/2            3/2 |
  |        -1 + x    /      2\      /      2    /     2\       /     2\    |
  \                  \-1 + x /    \/  1 - x     \1 - x /       \1 - x /    /
2(3x4asin⁡(x)(1−x2)52+3x3(x2−1)2+7x2asin⁡(x)(1−x2)32−12x−6xx2−1+6asin⁡(x)1−x2)2 \left(\frac{3 x^{4} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x^{3}}{\left(x^{2} - 1\right)^{2}} + \frac{7 x^{2} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 12 x - \frac{6 x}{x^{2} - 1} + \frac{6 \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right)
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Gráfico
Derivada de y=√1-x^4+x^2*arcsinx^2
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