# One-Sided Derivative

### Left-Hand Derivative

### Right-Hand Derivative

A function is differentiable at a point if and only if it is differentiable from the left and right side and these derivatives coincide.

# Derivative of Piecewise Functions

With piecewise functions, it is necessary to study the derivatives at the points of lateral separation of the different pieces.

Study the differentiability of the function f (x)= |x|.

The function is not differentiable at x = 0.

The function is not differentiable at x = 0.

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