Question

найти производную
$(x - 3) \times ( {x }^{2} + 2x - 3)$
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Answer 1

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