Find the unit tangent vector at the given point on the curve.

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Find the unit tangent vector T(t)\mathbf{T}(t) at the given point on the curve. r(t)=⟨t3+1,3t−5,4/t⟩,(2,−2,4)\mathbf{r}(t) = \langle t^3 + 1, 3t - 5, 4/t \rangle, (2, -2, 4)

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