The Taylor [[Series]] of some [[Smooth Function]] $f$ at some input $f(a)$ is a [[Power Series]] constructed with the [[Derivative|Derivatives]] of $f$ at $a$. $\huge f(x) = \sum_{n=0}^{\infty} \frac{1}{n!} \mathcal{D}^{n}\set{f}(x-a)^{n}$