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y=(x+2)²×sinc
Derivada de la función/ (x+2)/ y=(x+2)²×sinc

Derivada de y=(x+2)²×sinc

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
       2        
(x + 2) *sinc(x)
(x+2)2sinc⁡(x)\left(x + 2\right)^{2} \operatorname{sinc}{\left(x \right)} 
(x + 2)^2*sinc(x)
Gráfica
02468-8-6-4-2-1010-2525
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Trazar el gráfico f'(x)
Primera derivada [src] 
         //-sin(x) + x*cos(x)            \                    
         ||------------------  for x != 0|                    
       2 ||         2                    |                    
(x + 2) *|<        x                     | + (4 + 2*x)*sinc(x)
         ||                              |                    
         ||        0           otherwise |                    
         \\                              /
(x+2)2({xcos⁡(x)−sin⁡(x)x2for x≠00otherwise)+(2x+4)sinc⁡(x)\left(x + 2\right)^{2} \left(\begin{cases} \frac{x \cos{\left(x \right)} - \sin{\left(x \right)}}{x^{2}} & \text{for}\: x \neq 0 \\0 & \text{otherwise} \end{cases}\right) + \left(2 x + 4\right) \operatorname{sinc}{\left(x \right)}
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Segunda derivada [src] 
                     // /2*(-sin(x) + x*cos(x))         \             \                                              
                     ||-|---------------------- + sin(x)|             |             //-sin(x) + x*cos(x)            \
                     || |           2                   |             |             ||------------------  for x != 0|
                   2 || \          x                    /             |             ||         2                    |
2*sinc(x) + (2 + x) *|<-----------------------------------  for x != 0| + 4*(2 + x)*|<        x                     |
                     ||                 x                             |             ||                              |
                     ||                                               |             ||        0           otherwise |
                     ||                 0                   otherwise |             \\                              /
                     \\                                               /
(x+2)2({−sin⁡(x)+2(xcos⁡(x)−sin⁡(x))x2xfor x≠00otherwise)+4(x+2)({xcos⁡(x)−sin⁡(x)x2for x≠00otherwise)+2sinc⁡(x)\left(x + 2\right)^{2} \left(\begin{cases} - \frac{\sin{\left(x \right)} + \frac{2 \left(x \cos{\left(x \right)} - \sin{\left(x \right)}\right)}{x^{2}}}{x} & \text{for}\: x \neq 0 \\0 & \text{otherwise} \end{cases}\right) + 4 \left(x + 2\right) \left(\begin{cases} \frac{x \cos{\left(x \right)} - \sin{\left(x \right)}}{x^{2}} & \text{for}\: x \neq 0 \\0 & \text{otherwise} \end{cases}\right) + 2 \operatorname{sinc}{\left(x \right)}
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Tercera derivada [src] 
                                               //          3*sin(x)   6*(-sin(x) + x*cos(x))            \             // /2*(-sin(x) + x*cos(x))         \             \
  //-sin(x) + x*cos(x)            \            ||-cos(x) + -------- + ----------------------            |             ||-|---------------------- + sin(x)|             |
  ||------------------  for x != 0|            ||             x                  3                      |             || |           2                   |             |
  ||         2                    |          2 ||                               x                       |             || \          x                    /             |
6*|<        x                     | + (2 + x) *|<-------------------------------------------  for x != 0| + 6*(2 + x)*|<-----------------------------------  for x != 0|
  ||                              |            ||                     x                                 |             ||                 x                             |
  ||        0           otherwise |            ||                                                       |             ||                                               |
  \\                              /            ||                     0                       otherwise |             ||                 0                   otherwise |
                                               \\                                                       /             \\                                               /
(x+2)2({−cos⁡(x)+3sin⁡(x)x+6(xcos⁡(x)−sin⁡(x))x3xfor x≠00otherwise)+6(x+2)({−sin⁡(x)+2(xcos⁡(x)−sin⁡(x))x2xfor x≠00otherwise)+6({xcos⁡(x)−sin⁡(x)x2for x≠00otherwise)\left(x + 2\right)^{2} \left(\begin{cases} \frac{- \cos{\left(x \right)} + \frac{3 \sin{\left(x \right)}}{x} + \frac{6 \left(x \cos{\left(x \right)} - \sin{\left(x \right)}\right)}{x^{3}}}{x} & \text{for}\: x \neq 0 \\0 & \text{otherwise} \end{cases}\right) + 6 \left(x + 2\right) \left(\begin{cases} - \frac{\sin{\left(x \right)} + \frac{2 \left(x \cos{\left(x \right)} - \sin{\left(x \right)}\right)}{x^{2}}}{x} & \text{for}\: x \neq 0 \\0 & \text{otherwise} \end{cases}\right) + 6 \left(\begin{cases} \frac{x \cos{\left(x \right)} - \sin{\left(x \right)}}{x^{2}} & \text{for}\: x \neq 0 \\0 & \text{otherwise} \end{cases}\right)
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Gráfico
Derivada de y=(x+2)²×sinc
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