1. t 값 찾기: \,\displaystyle x(t) = t^2 + 1 = 2 \Longrightarrow t = 1 (모든 성분 만족).

2. 도함수 r'(t): \,\displaystyle r'(t) = \langle 2t,\, 4 \cdot \dfrac{1}{2\sqrt{t}},\, 2e^{2t-2} \rangle = \langle 2t,\, \dfrac{2}{\sqrt{t}},\, 2e^{2t-2} \rangle

3. t = 1 대입: \,\displaystyle r'(1) = \langle2(1),\, \dfrac{2}{\sqrt{1}},\, 2e^{2(1)-2} \rangle = \langle2, 2, 2\rangle