Derivative of Abs(x)
- Answer
- abs(x)^(-1)*x
- Rule Used
- Absolute Value Rule
- Steps
- Recognize the absolute value function |u| = abs(u).
- Apply the rule: d/dx |u| = u' · u/|u| (equivalently u'·sign(u) for u ≠ 0).
- Here u = x, so the derivative is shown below.
- Final answer: abs(x)^(-1)*x
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How to find the derivative of Abs(x)
To find the derivative of Abs(x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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