Question

Derive la siguiente funcion utilizando sus respectivas propiedades (2x-1)(x^2-6x+3)

Answer 1

$F'(x)= f'(x)g(x) + f(x)g'(x) \\ \\ F'(x) = (2x - 1) '( {x}^{2} - 6x + 3) + (2x - 1)( {x}^{2} - 6x + 3)' \\ \\ F'(x) = (2 )( {x}^{2} - 6x + 3) + (2x -1 )(2x - 6) \\ \\F'(x) = 2 {x}^{2} - 12x + 6 + 4 {x}^{2} - 12x - 2x + 6 \\ \\ F'(x) = 6 {x}^{2} - 26x + 12$