Производная cos(|x|)

Вы ввели

cos(|x|)

$$\cos{\left(\left|{x}\right| \right)}$$

d           
--(cos(|x|))
dx          

$$\frac{d}{d x} \cos{\left(\left|{x}\right| \right)}$$

Первая производная

-sign(x)*sin(|x|)

$$- \sin{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)}$$

Вторая производная

 /    2                                       \
-\sign (x)*cos(|x|) + 2*DiracDelta(x)*sin(|x|)/

$$- (2 \sin{\left(\left|{x}\right| \right)} \delta\left(x\right) + \cos{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)})$$

Третья производная

    3                                                                             
sign (x)*sin(|x|) - 2*DiracDelta(x, 1)*sin(|x|) - 6*DiracDelta(x)*cos(|x|)*sign(x)

$$- 2 \sin{\left(\left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right) + \sin{\left(\left|{x}\right| \right)} \operatorname{sign}^{3}{\left(x \right)} - 6 \cos{\left(\left|{x}\right| \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)}$$

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