Question

First derivative aof a continuous function is continuous or not?

Answer 1

Answer:

Then if f'(x) is continuous for x in the same region then the original function is said to be C^1 (have 1 continuous derivative) in the region. So in short, a continuous derivative is like any other but it's a continuous function

Answer 2

Answer:

The derivative of a function (if it exists) is just another function. Saying that a function is differentiable just means that the derivative exists, while saying that a function has a continuous derivative means that it is differentiable, and its derivative is a continuous function. f(x)={x2sin(1/x)if x≠00otherwise.