How could differentiation of functions in the vector space span {1, sin(x), cos(x), sin(2x), cos(2x)} be computed

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How could differentiation of functions in the vector space span {1, sin(x), cos(x), sin(2x), cos(2x)} be computed by matrix multiplication in R5? Use your method to find the derivative of 3 - 4 sin(x) + sin(2x) + 5cos(2x).
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