Derivative of y=x*|x|+3

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x*|x| + 3

$$x \left|{x}\right| + 3$$

x*|x| + 3

The first derivative [src]

x*sign(x) + |x|

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

Simplify

The second derivative [src]

2*(x*DiracDelta(x) + sign(x))

$$2 \left(x \delta\left(x\right) + \operatorname{sign}{\left(x \right)}\right)$$

Simplify

The third derivative [src]

2*(3*DiracDelta(x) + x*DiracDelta(x, 1))

$$2 \left(x \delta^{\left( 1 \right)}\left( x \right) + 3 \delta\left(x\right)\right)$$

Simplify