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Differentiation of Trigonometric Functions

Find the derivative of the following functions:

1. f(x) = 3sin x

2. g(x) = 2sin 3x

3. g(x) = tan x + cot x

4. h(x) = 4sin x cos x

5. f(x) = x² sin x

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This solution is comprised of detailed step-by-step calculations and analysis of the given problems and provides students with a clear perspective of the underlying concepts of Differentiation.