A particle follows the path r(t)=⟨ln(t),t2⟩r(t) = \langle \ln(t), t^2 \rangler(t)=⟨ln(t),t2⟩ for t>0t > 0t>0. Find the slope of the tangent line at t=et = et=e.
2e22e^22e2
eee
1/e1/e1/e
e2/2e^2/2e2/2