funkcja różniczkowalna

No such results, however, are valid for more general classes of differentiable or real analytic functions.

Let be an interval and be a continuously differentiable function.

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

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

As noted above, the theorem does not hold for differentiable complex-valued functions.

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

The derivative of any differentiable function is of class 1.

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

This is not true for real differentiable functions.

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