Find , where , , , and…

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

Problem

Find f′(2)f'(2), where f(t)=u(t)⋅v(t)f(t) = \mathbf{u}(t) \cdot \mathbf{v}(t), u(2)=⟨1,2,−1⟩\mathbf{u}(2) = \langle 1, 2, -1 \rangle, u′(2)=⟨3,0,4⟩\mathbf{u}'(2) = \langle 3, 0, 4 \rangle, and v(t)=⟨t,t2,t3⟩\mathbf{v}(t) = \langle t, t^2, t^3 \rangle.

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