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Vector-valued functions differentiation

AP.CALC: CHA‑3 (EU), CHA‑3.H (LO), CHA‑3.H.1 (EK)

Problem

Let g be a vector-valued function defined by g, left parenthesis, t, right parenthesis, equals, left parenthesis, sine, left parenthesis, pi, t, right parenthesis, comma, minus, 2, cosine, left parenthesis, pi, t, right parenthesis, right parenthesis.
Find g, prime, left parenthesis, t, right parenthesis.
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