Help me to solve this problem please? It's about real analysis. I am studying for preparing my midterm, but I still have many difficulties.
1 Answer
Apr 1, 2018
Let
Differentiating both sides of the identity we have:
or:
which means that
Differentiating again:
which means
The easier examples are polynomials: a polynomial containing only odd order powers:
is an odd function, while its derivative;
contains only even ordered powers and is an even function.
For instance see below the graph of: