Question: Given a scalar function f(t) and a vector-valued function r(t), both differentiable for any t. Prove that (f(t)r(t))' = f'(t)r(t) + f(t)r'(t)

Given a scalar function f(t) and a vector-valued function r(t), both differentiable for any t.

Prove that (f(t)r(t))' = f'(t)r(t) + f(t)r'(t)

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