## Derivative of mod x: Formula, Proof

The derivative of |x| (mod x) is equal to x/|x| where x is non-zero. The function |x| is known as the absolute value of x. So the derivative of absolute value of x is given by $\dfrac{d}{dx}(|x|) = \dfrac{x}{|x|}$, provided that x ≠ 0. Before we prove this formula, let us first recall the definition … Read more