अर्ध-अलग इसके अंग्रेजी अर्थ का उदाहरण

Roads in the Hunter Region In calculus, a branch of mathematics, the notions of one-sided differentiability and semi-differentiability of a real-valued function f of a real variable are weaker than differentiability.

If is a limit point of "nbsp; and and if f is left and right differentiable at a, then f is called semi-differentiable at a.

A function is differentiable at an interior point a of its domain if and only if it is semi-differentiable at a and the left derivative is equal to the right derivative.

An example of a semi-differentiable function, which is not differentiable, is the absolute value at a"nbsp;"nbsp;0.

If a function is semi-differentiable at a point a, it implies that it is continuous at a.

Then f is called semi-differentiable at the point a if for every direction u"nbsp;"isin;"nbsp;Rn the limit.

For example, the function f(x, y) \sqrt{x^2 + y^2} is semi-differentiable at (0, 0), but not Gateaux differentiable there.

Any convex function on a convex open subset of Rn is semi-differentiable.

While every semi-differentiable function of one variable is continuous; this is no longer true for several variables.