Derivative of a Modulus of a Function

Rarely Tested

Derivative of a Modulus of a Function

For:

$$f(x)=|u(x)|$$

when:

$$u(x)\neq0$$

$$\frac{d}{dx}|u(x)|=\frac{u(x)}{|u(x)|}u'(x)$$

Usage

- Used to differentiate modulus functions away from their zero points.

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