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Derivative of a Function with Absolute Value
If:
$$f(x)=|u(x)|$$
and:
$$u(x)\neq0$$
then:
$$f'(x)=\frac{u(x)}{|u(x)|}u'(x)$$
Usage
- Used to differentiate modulus functions away from points where the inner function is zero.
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Derivative of a Function with Absolute Value
If:
$$f(x)=|u(x)|$$
and:
$$u(x)\neq0$$
then:
$$f'(x)=\frac{u(x)}{|u(x)|}u'(x)$$
Usage
- Used to differentiate modulus functions away from points where the inner function is zero.
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