Find the derivative of r(t)=⟨t2,et⟩\mathbf{r}(t) = \langle t^2, e^t \rangler(t)=⟨t2,et⟩.
⟨2t,et⟩\langle 2t, e^t \rangle⟨2t,et⟩
⟨2,et⟩\langle 2, e^t \rangle⟨2,et⟩
⟨t,et⟩\langle t, e^t \rangle⟨t,et⟩
⟨2t2,et⟩\langle 2t^2, e^t \rangle⟨2t2,et⟩