Define the norms as
$||f||_u=sup_{x\in[a,b]}\{|f(x)|\}\ \ \ \ \ \ \ ||f||=||f||_u+||f'||_u$
Show that $||\cdot||$ and $||\cdot||_u$ is not equivalent
I've found a sequence for which $||\cdot||_u$ is bounded, but $||\cdot||$ isn't, but I'm thinking I need to show it in a more general case
