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Derivada de la función/ senx+|cosx|

Derivada de senx+|cosx|

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

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Solución

Ha introducido [src] 
sin(x) + |cos(x)|
$$\sin{\left(x \right)} + \left|{\cos{\left(x \right)}}\right|$$ 
sin(x) + Abs(cos(x))
Primera derivada [src] 
-sign(cos(x))*sin(x) + cos(x)
$$- \sin{\left(x \right)} \operatorname{sign}{\left(\cos{\left(x \right)} \right)} + \cos{\left(x \right)}$$
Simplificar
Segunda derivada [src] 
                                     2                      
-sin(x) - cos(x)*sign(cos(x)) + 2*sin (x)*DiracDelta(cos(x))
$$2 \sin^{2}{\left(x \right)} \delta\left(\cos{\left(x \right)}\right) - \sin{\left(x \right)} - \cos{\left(x \right)} \operatorname{sign}{\left(\cos{\left(x \right)} \right)}$$
Simplificar
Tercera derivada [src] 
                                     3                                                              
-cos(x) + sign(cos(x))*sin(x) - 2*sin (x)*DiracDelta(cos(x), 1) + 6*DiracDelta(cos(x))*cos(x)*sin(x)
$$- 2 \sin^{3}{\left(x \right)} \delta^{\left( 1 \right)}\left( \cos{\left(x \right)} \right) + 6 \sin{\left(x \right)} \cos{\left(x \right)} \delta\left(\cos{\left(x \right)}\right) + \sin{\left(x \right)} \operatorname{sign}{\left(\cos{\left(x \right)} \right)} - \cos{\left(x \right)}$$
Simplificar
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