## Thursday, November 28, 2013

### Question of the week - #1

A question which is addressed to all those studying the fundamentals of differential calculus, and more specifically the definition of the derivative:

"Let a function $f(x)$ which is differentiable (and thus continuous) at a point $x=a$ of its domain. Is the derivative function $f '(x)$ necessarilly continuous at $x=a$ ?"

I will post the solution next week, together with the names of those who will have communicated me correct answers (with proofs or counterexamples!)