The function is continuously differentiable.

函数是连续可微分的。

Not all continuous functions are differentiable.

函数是连续可微分的。

OK, so most of the functions we'll see are differentiable.

因此大多数我们会遇到的函数都是可微的。

You will see why. It is defined and differentiable in r.

你们会明白为什么的，它在R上有定义，且是可微的。

The results for differentiable homeomorphism are extended.

并推广了微分同胚的有关结果。