[[Numerical Analysis Error Bounds|Error Bound]] Review / Extension: Let $[a,b]$ be an [[Interval]] with $p\in [a,b]$ [[Universal Quantifier|for any]] $x\in[a,b]$. $\huge \begin{align} f(x) = f(p) + f'(p)(x-p) + \frac{1}{2}f''(\xi)(x-p)^{2} \end{align}$ For some $\xi\in[a,b]$