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Derivatives of Trig Functions
3. Techniques of Differentiation / Derivatives of Trig Functions / Problem 2
Problem 2

A wave travels along a string, and its position in millimeters is described by h(t)=15(2cost+1)h\(\left\)(t\(\right\))=15\(\left\)(2\(\cos\) t+1\(\right\)), for t0t\(\geq\)0, where tt represents time in seconds. Determine the velocity of the wave, v(t)=h(t)v\(\left\)(t\(\right\))=h^{\(\prime\)}\(\left\)(t\(\right\)).