differentiable

The basis function is no longer differentiable at that point.

The function need not be differentiable, and no derivatives are taken.

Next, we know that the overall function must be continuous and differentiable.

However, even if a function is continuous at a point, it may not be differentiable there.

We don't even know it angels are differentiable, one from the other.

The functions are continuous and differentiable in both time arguments.

It is sufficient for the function to be differentiable only in the extreme point.

One then defines a retraction as above which must now be differentiable.

Such processes are very common including, in particular, all continuously differentiable functions.

Can there exist a continuous function which is not differentiable for any x?

Let be a curve differentiable in such that and .

The adjoining figure shows a continuously differentiable curve in blue.

In particular, it is not differentiable at any point and has infinite variation over every time interval.

In particular it is possible to use calculus on a differentiable manifold.

The situation thus described is in marked contrast to complex differentiable functions.

This function is modeled in several ways, but must always be normalizable and differentiable.

The derivative of any differentiable function is of class 1.

Let be an abstract Wiener space, and suppose that is differentiable.

The same argument works for a piecewise differentiable Jordan curve.

When the past is not differentiable from the present, a violence called sacrificial crises occurs.

For example, if the function is not infinitely differentiable, one cannot generate a Taylor series.

On the real line, every polynomial function is infinitely differentiable.

The general setting for the study of differential forms is on a differentiable manifold.

It is possible to develop a calculus for differentiable manifolds.

This is easily seen through the fact that operators commute with differentiable functions of themselves.