Let $C^\prime[a,b]$ denote the normed space of all continuously differentiable real (or complex) valued functions defined on the closed, bounded interval $[a,b]$ in $\mathbf{R}$ with the norm defined by $$||x||:= \max\_{a \leq t \leq b} |x(t)| + \max\_{a \leq t \leq b} |x^\prime(t)| $$ for all $x$ in $C^\prime[a,b]$, and let $f$ be the functional defined by $$f(x):=x^\prime(t\_0)$$ for all $x$ in $C^\prime[a,b]$, where $t\_0$ is an arbitrary but fixed point in $[a,b]$. Now $f$ is a bounded linear functional. How to compute the norm of $f$, and what is this norm?