Differentiable curve (source code)

= Differentiable curve
{wiki=Differentiable_curve}

A differentiable curve is a mathematical concept referring to a curve that can be described by a differentiable function. In a more formal sense, a curve is said to be differentiable if it is possible to compute its derivative at every point in its domain. For a curve defined in a two-dimensional space, represented by a function \\( y = f(x) \\), it is differentiable at a point if the derivative \\( f'(x) \\) exists at that point.