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\sum_{k=0}^{\infty}\frac{f^{(k)}(a)}{k!}(x-a)^k
x^k
\Leftrightarrow\frac{f(x)-f(a)}{x-a}=\frac{f'(a)}{1!}(x-a)^0+\frac{f''(a)}{2!}(x-a)^{2-1}+...
\frac{dz}{dx}=\frac{dz}{dy}\frac{dy}{dx}
((x-\alpha)(x-\beta))'=1(x-\beta)+(x-\alpha)1=2x-(\alpha+\beta)