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y=(arcsin(x^4))/(3-2*x)
Derivada de la función/ (x^4)/ 3-2*x/ arcsin/ y=(arcsin(x^4))/(3-2*x)

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

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

Ha introducido [src] 
    / 4\
asin\x /
--------
3 - 2*x
asin⁡(x4)3−2x\frac{\operatorname{asin}{\left(x^{4} \right)}}{3 - 2 x} 
asin(x^4)/(3 - 2*x)
Gráfica
02468-8-6-4-2-10105-5
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Primera derivada [src] 
      / 4\               3        
2*asin\x /            4*x         
---------- + ---------------------
         2      ________          
(3 - 2*x)      /      8           
             \/  1 - x  *(3 - 2*x)
4x31−x8(3−2x)+2asin⁡(x4)(3−2x)2\frac{4 x^{3}}{\sqrt{1 - x^{8}} \left(3 - 2 x\right)} + \frac{2 \operatorname{asin}{\left(x^{4} \right)}}{\left(3 - 2 x\right)^{2}}
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Segunda derivada [src] 
  /                   /          8 \                         \
  |                 2 |       4*x  |                         |
  |                x *|-3 + -------|                         |
  |         / 4\      |           8|               3         |
  |   2*asin\x /      \     -1 + x /            4*x          |
4*|- ----------- + ----------------- + ----------------------|
  |            2         ________         ________           |
  |  (-3 + 2*x)         /      8         /      8            |
  \                   \/  1 - x        \/  1 - x  *(-3 + 2*x)/
--------------------------------------------------------------
                           -3 + 2*x
4(4x31−x8(2x−3)+x2(4x8x8−1−3)1−x8−2asin⁡(x4)(2x−3)2)2x−3\frac{4 \left(\frac{4 x^{3}}{\sqrt{1 - x^{8}} \left(2 x - 3\right)} + \frac{x^{2} \left(\frac{4 x^{8}}{x^{8} - 1} - 3\right)}{\sqrt{1 - x^{8}}} - \frac{2 \operatorname{asin}{\left(x^{4} \right)}}{\left(2 x - 3\right)^{2}}\right)}{2 x - 3}
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Tercera derivada [src] 
  /                /         8          16  \                                                   \
  |                |     26*x       24*x    |                                   /          8 \  |
  |              x*|3 - ------- + ----------|                                 2 |       4*x  |  |
  |                |          8            2|                              3*x *|-3 + -------|  |
  |       / 4\     |    -1 + x    /      8\ |                3                  |           8|  |
  | 6*asin\x /     \              \-1 + x / /            12*x                   \     -1 + x /  |
8*|----------- - ---------------------------- - ----------------------- - ----------------------|
  |          3              ________               ________                  ________           |
  |(-3 + 2*x)              /      8               /      8            2     /      8            |
  \                      \/  1 - x              \/  1 - x  *(-3 + 2*x)    \/  1 - x  *(-3 + 2*x)/
-------------------------------------------------------------------------------------------------
                                             -3 + 2*x
8(−12x31−x8(2x−3)2−3x2(4x8x8−1−3)1−x8(2x−3)−x(24x16(x8−1)2−26x8x8−1+3)1−x8+6asin⁡(x4)(2x−3)3)2x−3\frac{8 \left(- \frac{12 x^{3}}{\sqrt{1 - x^{8}} \left(2 x - 3\right)^{2}} - \frac{3 x^{2} \left(\frac{4 x^{8}}{x^{8} - 1} - 3\right)}{\sqrt{1 - x^{8}} \left(2 x - 3\right)} - \frac{x \left(\frac{24 x^{16}}{\left(x^{8} - 1\right)^{2}} - \frac{26 x^{8}}{x^{8} - 1} + 3\right)}{\sqrt{1 - x^{8}}} + \frac{6 \operatorname{asin}{\left(x^{4} \right)}}{\left(2 x - 3\right)^{3}}\right)}{2 x - 3}
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Gráfico
Derivada de y=(arcsin(x^4))/(3-2*x)
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