Differentiation of Mathematics

2010-04-19 7:20 am
dZ/dw=(d/dw)[4wL/(1-LCw^2)]=0

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回答 (1)

2010-04-19 3:18 pm
✔ 最佳答案
Assume L and C are constants. By quotient rule,
dZ/dw = d[4wL/(1 - LCw^2)]/dw
= [(1 - LCw^2) d(4wL)/dw - 4wL d(1 - LCw^2)/dw ] / ( 1 - LCw^2)^2
= [4L(1 - LCw^2) - 4wL ( - 2LCw)]/ (1 - LCw^2)^2
= [4L - 4L^2Cw^2 - 4wL + 8L^2Cw^2]/ (1 - LCw^2)^2
= 4L(1 + LCw^2 - w)/(1 - LCw^2)^2


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