differentiable function

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

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

The derivative of any differentiable function is of class 1.

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

This theory deals with differentiable functions in general, rather than just polynomials.

This is not true for real differentiable functions.

Let be an interval and be a continuously differentiable function.

Differentiable functions are important in many areas, and in particular for differential equations.

It can also be shown that the eigenfunctions are infinitely differentiable functions.

This definition of arc length does not require that C be defined by a differentiable function.

Newton's method for a given differentiable function is .

Derivatives of compositions involving differentiable functions can be found using the chain rule.

Any differentiable function may be used for .

Well the another of function, a differentiable function.

Let be a piecewise continuously differentiable function which is periodic with some period .

Let be a smooth differentiable function on .

Assume that is a twice differentiable function on with the unique point such that .

The functions Leibniz considered are today called differentiable functions.

The graph of a differentiable function must have a non-vertical tangent line at each point in its domain.

Furthermore for any differentiable function f(x), we find, by the chain rule:

Since "g" is a differentiable function in one variable, the mean value theorem gives:

The more spending rounds are offered, the better approximation the continuous, differentiable function is for its discrete counterpart.

Another generalization holds for continuously differentiable functions.

On the other hand, two positive integrable and infinitely differentiable functions may have a nowhere continuous convolution.

In this formulation, it is assumed that the probabilities are continuous and differentiable functions of .