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Calculus · Derivatives

Differentiate Abs(x)

\frac{d}{dx}\left[\left|{x}\right|\right]

Step by step

  1. \frac{d}{dx}\left[\left|{x}\right|\right]

    Start from the derivative to compute.

  2. \operatorname{sign}{\left(x \right)} \frac{d}{d x} x

    d/dx |u| = sign(u)·u′.

  3. \operatorname{sign}{\left(x \right)}

    d/dx of x is 1.

Reveal the answer
f'(x) = \operatorname{sign}{\left(x \right)}