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y=cos3x/(x^2+2)
Derivada de la función/ x^2+2/ cos3x/ y=cos/ y=cos3x/(x^2+2)

Derivada de y=cos3x/(x^2+2)

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

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Solución

Ha introducido [src] 
cos(3*x)
--------
  2     
 x  + 2
cos⁡(3x)x2+2\frac{\cos{\left(3 x \right)}}{x^{2} + 2} 
cos(3*x)/(x^2 + 2)
Gráfica
02468-8-6-4-2-10102.5-2.5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
  3*sin(3*x)   2*x*cos(3*x)
- ---------- - ------------
     2                  2  
    x  + 2      / 2    \   
                \x  + 2/
−2xcos⁡(3x)(x2+2)2−3sin⁡(3x)x2+2- \frac{2 x \cos{\left(3 x \right)}}{\left(x^{2} + 2\right)^{2}} - \frac{3 \sin{\left(3 x \right)}}{x^{2} + 2}
Simplificar
Segunda derivada [src] 
                /         2 \                         
                |      4*x  |                         
              2*|-1 + ------|*cos(3*x)                
                |          2|                         
                \     2 + x /            12*x*sin(3*x)
-9*cos(3*x) + ------------------------ + -------------
                            2                     2   
                       2 + x                 2 + x    
------------------------------------------------------
                             2                        
                        2 + x
12xsin⁡(3x)x2+2−9cos⁡(3x)+2(4x2x2+2−1)cos⁡(3x)x2+2x2+2\frac{\frac{12 x \sin{\left(3 x \right)}}{x^{2} + 2} - 9 \cos{\left(3 x \right)} + \frac{2 \left(\frac{4 x^{2}}{x^{2} + 2} - 1\right) \cos{\left(3 x \right)}}{x^{2} + 2}}{x^{2} + 2}
Simplificar
Tercera derivada [src] 
  /               /         2 \                                /         2 \         \
  |               |      4*x  |                                |      2*x  |         |
  |             6*|-1 + ------|*sin(3*x)                   8*x*|-1 + ------|*cos(3*x)|
  |               |          2|                                |          2|         |
  |               \     2 + x /            18*x*cos(3*x)       \     2 + x /         |
3*|9*sin(3*x) - ------------------------ + ------------- - --------------------------|
  |                           2                     2                      2         |
  |                      2 + x                 2 + x               /     2\          |
  \                                                                \2 + x /          /
--------------------------------------------------------------------------------------
                                             2                                        
                                        2 + x
3(18xcos⁡(3x)x2+2−8x(2x2x2+2−1)cos⁡(3x)(x2+2)2+9sin⁡(3x)−6(4x2x2+2−1)sin⁡(3x)x2+2)x2+2\frac{3 \left(\frac{18 x \cos{\left(3 x \right)}}{x^{2} + 2} - \frac{8 x \left(\frac{2 x^{2}}{x^{2} + 2} - 1\right) \cos{\left(3 x \right)}}{\left(x^{2} + 2\right)^{2}} + 9 \sin{\left(3 x \right)} - \frac{6 \left(\frac{4 x^{2}}{x^{2} + 2} - 1\right) \sin{\left(3 x \right)}}{x^{2} + 2}\right)}{x^{2} + 2}
Simplificar
Gráfico
Derivada de y=cos3x/(x^2+2)
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