Given a curve C: r(t), find a tangent vector r'(t), a unit tangent vector u'(t), and the

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Given a curve C: r(t), find a tangent vector r'(t), a unit tangent vector u'(t), and the tangent of C at P. Sketch curve and tangent.

r(t) = [t, t2, t3], P: (1, 1, 1)

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