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Derivada de la función/ cos(x)/ y=1/2/ (x^2)/ sqrt^3/ y=1/2sqrt^3(x^2)cos(x)

Derivada de y=1/2sqrt^3(x^2)cos(x)

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
       3       
   ____        
  /  2         
\/  x          
--------*cos(x)
   2
(x2)32cos⁡(x)\frac{\left(\sqrt{x^{2}}\right)^{3}}{2} \cos{\left(x \right)} 
((sqrt(x^2))^3/2)*cos(x)
Primera derivada [src] 
   2                            
  x *|x|*sin(x)   3*x*|x|*cos(x)
- ------------- + --------------
        2               2
3xcos⁡(x)∣x∣2−x2∣x∣sin⁡(x)2\frac{3 x \cos{\left(x \right)} \left|{x}\right|}{2} - \frac{x^{2} \left|{x}\right| \sin{\left(x \right)}}{2}
Simplificar
Segunda derivada [src] 
                                               2           
3*(x*sign(x) + |x|)*cos(x)                    x *|x|*cos(x)
-------------------------- - 3*x*|x|*sin(x) - -------------
            2                                       2
−x2cos⁡(x)∣x∣2−3xsin⁡(x)∣x∣+3(xsign⁡(x)+∣x∣)cos⁡(x)2- \frac{x^{2} \cos{\left(x \right)} \left|{x}\right|}{2} - 3 x \sin{\left(x \right)} \left|{x}\right| + \frac{3 \left(x \operatorname{sign}{\left(x \right)} + \left|{x}\right|\right) \cos{\left(x \right)}}{2}
Simplificar
Tercera derivada [src] 
                                /                      / 2                                  \          \                                        
                                |2*|x| + x*sign(x)   2*\x *DiracDelta(x) + 2*x*sign(x) + |x|/          |           2                            
-9*(x*sign(x) + |x|)*sin(x) - 3*|----------------- - ---------------------------------------- + sign(x)|*cos(x) + x *|x|*sin(x) - 9*x*|x|*cos(x)
                                \        x                              x                              /                                        
------------------------------------------------------------------------------------------------------------------------------------------------
                                                                       2
x2sin⁡(x)∣x∣−9xcos⁡(x)∣x∣−9(xsign⁡(x)+∣x∣)sin⁡(x)−3(sign⁡(x)+xsign⁡(x)+2∣x∣x−2(x2δ(x)+2xsign⁡(x)+∣x∣)x)cos⁡(x)2\frac{x^{2} \sin{\left(x \right)} \left|{x}\right| - 9 x \cos{\left(x \right)} \left|{x}\right| - 9 \left(x \operatorname{sign}{\left(x \right)} + \left|{x}\right|\right) \sin{\left(x \right)} - 3 \left(\operatorname{sign}{\left(x \right)} + \frac{x \operatorname{sign}{\left(x \right)} + 2 \left|{x}\right|}{x} - \frac{2 \left(x^{2} \delta\left(x\right) + 2 x \operatorname{sign}{\left(x \right)} + \left|{x}\right|\right)}{x}\right) \cos{\left(x \right)}}{2}
Simplificar
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