$\displaystyle f \left (x \right) = \int _ {x} ^ {1} {e ^ {t ^ {2} +x t} dt}$ 일 때, $f ' \left (0 \right)$ 은?

• ①$e \cos \left (1 \right) -2$
• ②$-2+e$
• ③$\displaystyle \frac{e} {2} - \frac{3} {2}$
• ④$\displaystyle \frac{e} {2} + \frac{1} {2}$
• ⑤$\displaystyle \frac{e} {2} - \frac{1} {2}$