Question

10.设函数 y=ln^3(1+2x), 求微分dy;

Answer 1

方法如下，请作参考：

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Answer 2

y=[ln(1+2x)]^3
dy
=3[ln(1+2x)]^2 d[ln(1+2x)]
=3[ln(1+2x)]^2 .[1/(1+2x)] d(1+2x)
=3[ln(1+2x)]^2 .[1/(1+2x)] (2dx)
=6{ [ln(1+2x)]^2/(1+2x) } dx