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y=root(arcsin(7x),3)
Derivada de la función/ arcsin/ sin(7x)/ y=root(arcsin(7x),3)

Derivada de y=root(arcsin(7x),3)

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

Ha introducido [src] 
  ___________
\/ asin(7*x)
asin⁡(7x)\sqrt{\operatorname{asin}{\left(7 x \right)}} 
sqrt(asin(7*x))
Gráfica
02468-8-6-4-2-1010010
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Primera derivada [src] 
              7               
------------------------------
     ___________              
    /         2    ___________
2*\/  1 - 49*x  *\/ asin(7*x)
721−49x2asin⁡(7x)\frac{7}{2 \sqrt{1 - 49 x^{2}} \sqrt{\operatorname{asin}{\left(7 x \right)}}}
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Segunda derivada [src] 
   /          1                   14*x     \
49*|---------------------- + --------------|
   |/         2\                        3/2|
   |\-1 + 49*x /*asin(7*x)   /        2\   |
   \                         \1 - 49*x /   /
--------------------------------------------
                  ___________               
              4*\/ asin(7*x)
49(14x(1−49x2)32+1(49x2−1)asin⁡(7x))4asin⁡(7x)\frac{49 \left(\frac{14 x}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \frac{1}{\left(49 x^{2} - 1\right) \operatorname{asin}{\left(7 x \right)}}\right)}{4 \sqrt{\operatorname{asin}{\left(7 x \right)}}}
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Tercera derivada [src] 
    /                                                      2                              \
    |      4                      3                   588*x                  42*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)/
-------------------------------------------------------------------------------------------
                                          ___________                                      
                                      8*\/ asin(7*x)
343(588x2(1−49x2)52−42x(49x2−1)2asin⁡(7x)+4(1−49x2)32+3(1−49x2)32asin⁡2(7x))8asin⁡(7x)\frac{343 \left(\frac{588 x^{2}}{\left(1 - 49 x^{2}\right)^{\frac{5}{2}}} - \frac{42 x}{\left(49 x^{2} - 1\right)^{2} \operatorname{asin}{\left(7 x \right)}} + \frac{4}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(7 x \right)}}\right)}{8 \sqrt{\operatorname{asin}{\left(7 x \right)}}}
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Gráfico
Derivada de y=root(arcsin(7x),3)
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