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y=arcsin(7x)^1/5
Derivada de la función/ arcsin/ sin(7x)/ y=arcsin(7x)^1/5

Derivada de y=arcsin(7x)^1/5

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

Ha introducido [src] 
5 ___________
\/ asin(7*x)
asin⁡(7x)5\sqrt[5]{\operatorname{asin}{\left(7 x \right)}} 
asin(7*x)^(1/5)
Gráfica
02468-8-6-4-2-101004
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Primera derivada [src] 
              7              
-----------------------------
     ___________             
    /         2      4/5     
5*\/  1 - 49*x  *asin   (7*x)
751−49x2asin⁡45(7x)\frac{7}{5 \sqrt{1 - 49 x^{2}} \operatorname{asin}^{\frac{4}{5}}{\left(7 x \right)}}
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Segunda derivada [src] 
   /          4                   35*x     \
49*|---------------------- + --------------|
   |/         2\                        3/2|
   |\-1 + 49*x /*asin(7*x)   /        2\   |
   \                         \1 - 49*x /   /
--------------------------------------------
                     4/5                    
              25*asin   (7*x)
49(35x(1−49x2)32+4(49x2−1)asin⁡(7x))25asin⁡45(7x)\frac{49 \left(\frac{35 x}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \frac{4}{\left(49 x^{2} - 1\right) \operatorname{asin}{\left(7 x \right)}}\right)}{25 \operatorname{asin}^{\frac{4}{5}}{\left(7 x \right)}}
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Tercera derivada [src] 
    /                                                      2                              \
    |      25                     36                 3675*x                 420*x         |
343*|-------------- + ------------------------- + -------------- - -----------------------|
    |           3/2              3/2                         5/2               2          |
    |/        2\      /        2\        2        /        2\      /         2\           |
    \\1 - 49*x /      \1 - 49*x /   *asin (7*x)   \1 - 49*x /      \-1 + 49*x / *asin(7*x)/
-------------------------------------------------------------------------------------------
                                              4/5                                          
                                      125*asin   (7*x)
343(3675x2(1−49x2)52−420x(49x2−1)2asin⁡(7x)+25(1−49x2)32+36(1−49x2)32asin⁡2(7x))125asin⁡45(7x)\frac{343 \left(\frac{3675 x^{2}}{\left(1 - 49 x^{2}\right)^{\frac{5}{2}}} - \frac{420 x}{\left(49 x^{2} - 1\right)^{2} \operatorname{asin}{\left(7 x \right)}} + \frac{25}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \frac{36}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(7 x \right)}}\right)}{125 \operatorname{asin}^{\frac{4}{5}}{\left(7 x \right)}}
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Gráfico
Derivada de y=arcsin(7x)^1/5
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