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y=th3(2x+2)/arcsin(5x)
Derivada de la función/ sin(5x)/ arcsin/ y=th3(2x+2)/arcsin(5x)

Derivada de y=th3(2x+2)/arcsin(5x)

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

Ha introducido [src] 
tanh(3)*(2*x + 2)
-----------------
    asin(5*x)
(2x+2)tanh⁡(3)asin⁡(5x)\frac{\left(2 x + 2\right) \tanh{\left(3 \right)}}{\operatorname{asin}{\left(5 x \right)}} 
(tanh(3)*(2*x + 2))/asin(5*x)
Gráfica
02468-8-6-4-2-1010-5050
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Trazar el gráfico f'(x)
Primera derivada [src] 
2*tanh(3)      5*(2*x + 2)*tanh(3)   
--------- - -------------------------
asin(5*x)      ___________           
              /         2      2     
            \/  1 - 25*x  *asin (5*x)
2tanh⁡(3)asin⁡(5x)−5(2x+2)tanh⁡(3)1−25x2asin⁡2(5x)\frac{2 \tanh{\left(3 \right)}}{\operatorname{asin}{\left(5 x \right)}} - \frac{5 \left(2 x + 2\right) \tanh{\left(3 \right)}}{\sqrt{1 - 25 x^{2}} \operatorname{asin}^{2}{\left(5 x \right)}}
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Segunda derivada [src] 
    /      2                    /          2                   5*x      \\        
-10*|-------------- + 5*(1 + x)*|---------------------- + --------------||*tanh(3)
    |   ___________             |/         2\                        3/2||        
    |  /         2              |\-1 + 25*x /*asin(5*x)   /        2\   ||        
    \\/  1 - 25*x               \                         \1 - 25*x /   //        
----------------------------------------------------------------------------------
                                        2                                         
                                    asin (5*x)
−10(5(x+1)(5x(1−25x2)32+2(25x2−1)asin⁡(5x))+21−25x2)tanh⁡(3)asin⁡2(5x)- \frac{10 \left(5 \left(x + 1\right) \left(\frac{5 x}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(25 x^{2} - 1\right) \operatorname{asin}{\left(5 x \right)}}\right) + \frac{2}{\sqrt{1 - 25 x^{2}}}\right) \tanh{\left(3 \right)}}{\operatorname{asin}^{2}{\left(5 x \right)}}
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Tercera derivada [src] 
    /          /                                                     2                               \                                          \        
    |          |      1                      6                   75*x                   30*x         |             6                   15*x     |        
-50*|5*(1 + x)*|-------------- + ------------------------- + -------------- - -----------------------| + ---------------------- + --------------|*tanh(3)
    |          |           3/2              3/2                         5/2               2          |   /         2\                        3/2|        
    |          |/        2\      /        2\        2        /        2\      /         2\           |   \-1 + 25*x /*asin(5*x)   /        2\   |        
    \          \\1 - 25*x /      \1 - 25*x /   *asin (5*x)   \1 - 25*x /      \-1 + 25*x / *asin(5*x)/                            \1 - 25*x /   /        
---------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                            2                                                                            
                                                                        asin (5*x)
−50(15x(1−25x2)32+5(x+1)(75x2(1−25x2)52−30x(25x2−1)2asin⁡(5x)+1(1−25x2)32+6(1−25x2)32asin⁡2(5x))+6(25x2−1)asin⁡(5x))tanh⁡(3)asin⁡2(5x)- \frac{50 \left(\frac{15 x}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + 5 \left(x + 1\right) \left(\frac{75 x^{2}}{\left(1 - 25 x^{2}\right)^{\frac{5}{2}}} - \frac{30 x}{\left(25 x^{2} - 1\right)^{2} \operatorname{asin}{\left(5 x \right)}} + \frac{1}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \frac{6}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(5 x \right)}}\right) + \frac{6}{\left(25 x^{2} - 1\right) \operatorname{asin}{\left(5 x \right)}}\right) \tanh{\left(3 \right)}}{\operatorname{asin}^{2}{\left(5 x \right)}}
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Gráfico
Derivada de y=th3(2x+2)/arcsin(5x)
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