Question

Найти производную g(x) = ((4x + 2)^4)*((5 - 2x)^3)

Answer 1

$g(x) =(4x + 2)^4\times (5 - 2x)^3 \\ \\ (uv)'=u'v+uv' \\ \\ g'(x) = 4(4x + 2)^3 \times 4\times (5 - 2x)^3 + (4x + 2)^4\times 3(5 - 2x)^2 \times ( - 2) = \\ = 16(4x + 2)^3 (5 - 2x)^3 - 6(4x + 2)^4(5 - 2x)^2$