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y=(arcsin7x)/(x^4+e^x)
Derivada de la función/ sin7x/ arcsin/ y=(arcsin7x)/(x^4+e^x)

Derivada de y=(arcsin7x)/(x^4+e^x)

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

Gráfico:

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Solución

Ha introducido [src] 
asin(7*x)
---------
  4    x 
 x  + E
asin⁡(7x)ex+x4\frac{\operatorname{asin}{\left(7 x \right)}}{e^{x} + x^{4}} 
asin(7*x)/(x^4 + E^x)
Gráfica
02468-8-6-4-2-101020-10
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Primera derivada [src] 
                           /   x      3\          
           7               \- E  - 4*x /*asin(7*x)
------------------------ + -----------------------
   ___________                             2      
  /         2  / 4    x\          / 4    x\       
\/  1 - 49*x  *\x  + E /          \x  + E /
(−ex−4x3)asin⁡(7x)(ex+x4)2+71−49x2(ex+x4)\frac{\left(- e^{x} - 4 x^{3}\right) \operatorname{asin}{\left(7 x \right)}}{\left(e^{x} + x^{4}\right)^{2}} + \frac{7}{\sqrt{1 - 49 x^{2}} \left(e^{x} + x^{4}\right)}
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Segunda derivada [src] 
                 /                     2     \                                     
                 |          /   3    x\      |                                     
                 |    2   2*\4*x  + e /     x|                                     
                 |12*x  - -------------- + e |*asin(7*x)                           
                 |            4    x         |                     /   3    x\     
    343*x        \           x  + e          /                  14*\4*x  + e /     
-------------- - --------------------------------------- - ------------------------
           3/2                    4    x                      ___________          
/        2\                      x  + e                      /         2  / 4    x\
\1 - 49*x /                                                \/  1 - 49*x  *\x  + e /
-----------------------------------------------------------------------------------
                                       4    x                                      
                                      x  + e
343x(1−49x2)32−(12x2−2(4x3+ex)2x4+ex+ex)asin⁡(7x)x4+ex−14(4x3+ex)1−49x2(x4+ex)x4+ex\frac{\frac{343 x}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} - \frac{\left(12 x^{2} - \frac{2 \left(4 x^{3} + e^{x}\right)^{2}}{x^{4} + e^{x}} + e^{x}\right) \operatorname{asin}{\left(7 x \right)}}{x^{4} + e^{x}} - \frac{14 \left(4 x^{3} + e^{x}\right)}{\sqrt{1 - 49 x^{2}} \left(x^{4} + e^{x}\right)}}{x^{4} + e^{x}}
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Tercera derivada [src] 
 /                        /                    3                                  \                                                                        \ 
 |                        |         /   3    x\      /   3    x\ /    2    x\     |                /                     2     \                           | 
 |    /            2  \   |       6*\4*x  + e /    6*\4*x  + e /*\12*x  + e /    x|                |          /   3    x\      |                           | 
 |    |       147*x   |   |24*x + -------------- - -------------------------- + e |*asin(7*x)      |    2   2*\4*x  + e /     x|                           | 
 |343*|-1 + ----------|   |                  2               4    x               |             21*|12*x  - -------------- + e |                           | 
 |    |              2|   |         / 4    x\               x  + e                |                |            4    x         |             /   3    x\   | 
 |    \     -1 + 49*x /   \         \x  + e /                                     /                \           x  + e          /      1029*x*\4*x  + e /   | 
-|--------------------- + ------------------------------------------------------------------- + -------------------------------- + ------------------------| 
 |               3/2                                     4    x                                        ___________                            3/2          | 
 |    /        2\                                       x  + e                                        /         2  / 4    x\       /        2\    / 4    x\| 
 \    \1 - 49*x /                                                                                   \/  1 - 49*x  *\x  + e /       \1 - 49*x /   *\x  + e // 
-------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                            4    x                                                                           
                                                                           x  + e
−1029x(4x3+ex)(1−49x2)32(x4+ex)+(24x−6(12x2+ex)(4x3+ex)x4+ex+6(4x3+ex)3(x4+ex)2+ex)asin⁡(7x)x4+ex+21(12x2−2(4x3+ex)2x4+ex+ex)1−49x2(x4+ex)+343(147x249x2−1−1)(1−49x2)32x4+ex- \frac{\frac{1029 x \left(4 x^{3} + e^{x}\right)}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}} \left(x^{4} + e^{x}\right)} + \frac{\left(24 x - \frac{6 \left(12 x^{2} + e^{x}\right) \left(4 x^{3} + e^{x}\right)}{x^{4} + e^{x}} + \frac{6 \left(4 x^{3} + e^{x}\right)^{3}}{\left(x^{4} + e^{x}\right)^{2}} + e^{x}\right) \operatorname{asin}{\left(7 x \right)}}{x^{4} + e^{x}} + \frac{21 \left(12 x^{2} - \frac{2 \left(4 x^{3} + e^{x}\right)^{2}}{x^{4} + e^{x}} + e^{x}\right)}{\sqrt{1 - 49 x^{2}} \left(x^{4} + e^{x}\right)} + \frac{343 \left(\frac{147 x^{2}}{49 x^{2} - 1} - 1\right)}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}}}{x^{4} + e^{x}}
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Gráfico
Derivada de y=(arcsin7x)/(x^4+e^x)
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