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y=5*x*arcsin3x-(2x+6)*sin2x+3x^(4)*x^(-9)
Derivada de la función/ y=5*x*arcsin3x-(2x+6)*sin2x+3x^(4)*x^(-9)

Derivada de y=5*x*arcsin3x-(2x+6)*sin2x+3x^(4)*x^(-9)

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

Ha introducido [src] 
                                        4
                                     3*x 
5*x*asin(3*x) - (2*x + 6)*sin(2*x) + ----
                                       9 
                                      x
(5xasin⁡(3x)−(2x+6)sin⁡(2x))+3x4x9\left(5 x \operatorname{asin}{\left(3 x \right)} - \left(2 x + 6\right) \sin{\left(2 x \right)}\right) + \frac{3 x^{4}}{x^{9}} 
(5*x)*asin(3*x) - (2*x + 6)*sin(2*x) + (3*x^4)/x^9
Gráfica
02468-8-6-4-2-1010-2000000020000000
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Trazar el gráfico f'(x)
Primera derivada [src] 
  15                                                           15*x    
- -- - 2*sin(2*x) + 5*asin(3*x) + 2*(-6 - 2*x)*cos(2*x) + -------------
   6                                                         __________
  x                                                         /        2 
                                                          \/  1 - 9*x
15x1−9x2+2(−2x−6)cos⁡(2x)−2sin⁡(2x)+5asin⁡(3x)−15x6\frac{15 x}{\sqrt{1 - 9 x^{2}}} + 2 \left(- 2 x - 6\right) \cos{\left(2 x \right)} - 2 \sin{\left(2 x \right)} + 5 \operatorname{asin}{\left(3 x \right)} - \frac{15}{x^{6}}
Simplificar
Segunda derivada [src] 
                                                                 2   
                    30        90                            135*x    
-8*cos(2*x) + ------------- + -- + 8*(3 + x)*sin(2*x) + -------------
                 __________    7                                  3/2
                /        2    x                         /       2\   
              \/  1 - 9*x                               \1 - 9*x /
135x2(1−9x2)32+8(x+3)sin⁡(2x)−8cos⁡(2x)+301−9x2+90x7\frac{135 x^{2}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + 8 \left(x + 3\right) \sin{\left(2 x \right)} - 8 \cos{\left(2 x \right)} + \frac{30}{\sqrt{1 - 9 x^{2}}} + \frac{90}{x^{7}}
Simplificar
Tercera derivada [src] 
                                                                     3   
  630                                           540*x          3645*x    
- --- + 24*sin(2*x) + 16*(3 + x)*cos(2*x) + ------------- + -------------
    8                                                 3/2             5/2
   x                                        /       2\      /       2\   
                                            \1 - 9*x /      \1 - 9*x /
3645x3(1−9x2)52+540x(1−9x2)32+16(x+3)cos⁡(2x)+24sin⁡(2x)−630x8\frac{3645 x^{3}}{\left(1 - 9 x^{2}\right)^{\frac{5}{2}}} + \frac{540 x}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + 16 \left(x + 3\right) \cos{\left(2 x \right)} + 24 \sin{\left(2 x \right)} - \frac{630}{x^{8}}
Simplificar
Gráfico
Derivada de y=5*x*arcsin3x-(2x+6)*sin2x+3x^(4)*x^(-9)
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