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y=3√arcsin6x+7x^2

Derivada de y=3√arcsin6x+7x^2

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

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Solución

Ha introducido [src]
    ___________      2
3*\/ asin(6*x)  + 7*x 
$$7 x^{2} + 3 \sqrt{\operatorname{asin}{\left(6 x \right)}}$$
3*sqrt(asin(6*x)) + 7*x^2
Gráfica
Primera derivada [src]
                    9              
14*x + ----------------------------
          ___________              
         /         2    ___________
       \/  1 - 36*x  *\/ asin(6*x) 
$$14 x + \frac{9}{\sqrt{1 - 36 x^{2}} \sqrt{\operatorname{asin}{\left(6 x \right)}}}$$
Segunda derivada [src]
                 27                         324*x            
14 + ------------------------- + ----------------------------
     /         2\     3/2                   3/2              
     \-1 + 36*x /*asin   (6*x)   /        2\      ___________
                                 \1 - 36*x /   *\/ asin(6*x) 
$$\frac{324 x}{\left(1 - 36 x^{2}\right)^{\frac{3}{2}} \sqrt{\operatorname{asin}{\left(6 x \right)}}} + 14 + \frac{27}{\left(36 x^{2} - 1\right) \operatorname{asin}^{\frac{3}{2}}{\left(6 x \right)}}$$
Tercera derivada [src]
   /                                                      2                              \
   |      4                      3                   432*x                  36*x         |
81*|-------------- + ------------------------- + -------------- - -----------------------|
   |           3/2              3/2                         5/2               2          |
   |/        2\      /        2\        2        /        2\      /         2\           |
   \\1 - 36*x /      \1 - 36*x /   *asin (6*x)   \1 - 36*x /      \-1 + 36*x / *asin(6*x)/
------------------------------------------------------------------------------------------
                                        ___________                                       
                                      \/ asin(6*x)                                        
$$\frac{81 \left(\frac{432 x^{2}}{\left(1 - 36 x^{2}\right)^{\frac{5}{2}}} - \frac{36 x}{\left(36 x^{2} - 1\right)^{2} \operatorname{asin}{\left(6 x \right)}} + \frac{4}{\left(1 - 36 x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - 36 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(6 x \right)}}\right)}{\sqrt{\operatorname{asin}{\left(6 x \right)}}}$$
Gráfico
Derivada de y=3√arcsin6x+7x^2