Автор - sgtfedotov

найти производную
(x - 3) times ( {x }^{2}  + 2x - 3)

Ответ

Автор - qhi28676

(u*v)' = u'v + uv'\((x-3)(x^2+2x-3))' =  \(x-3)'(x^2+2x-3) + (x-3)(x^2+2x-3)' = \1*(x^2+2x-3) + (x-3)*(2x+2) = \x^2 + 2x - 3 + 2x^2 -4x - 6 = \3x^2 - 2x - 9

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