I am just confused on the structure of differentiable functions whose derivative is also continuous. How will that continuous function be? What extra restrictions one need to put so as to make a derivative of continuous function continuous? Given an arbitrary continuous function can we be able to say about the continuity of its derivative ? What are the properties of such functions?
Subscribe to:
Post Comments (Atom)
analysis - Injection, making bijection
I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...
-
So if I have a matrix and I put it into RREF and keep track of the row operations, I can then write it as a product of elementary matrices. ...
-
I am asked to prove the density of irrationals in $\mathbb{R}$. I understand how to do this by proving the density of $\mathbb{Q}$ first, na...
-
Can someone just explain to me the basic process of what is going on here? I understand everything until we start adding 1's then after ...
No comments:
Post a Comment