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In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.
It is is not differentiable at x = 0. Let |z| be an absolute value function of which we have to find the derivative, Recall that |z| = $\sqrt{Z^2}$. By using this we can find the derivative of |z|, $\frac{d}{dz}$ |Z| = $\frac{d}{dz}$ $\sqrt{Z^2}$. = $\frac{d}{dz}$ $(Z^2)^{\frac{1}{2}}$.