求下列函数的微分dy:y=e^x^2; y=1/4Ln((x-2)/(x+2))

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求下列函数的微分dy:y=e^x^2; y=1/4Ln((x-2)/(x+2))

求下列函数的微分dy:y=e^x^2; y=1/4Ln((x-2)/(x+2))
求下列函数的微分dy:y=e^x^2; y=1/4Ln((x-2)/(x+2))

求下列函数的微分dy:y=e^x^2; y=1/4Ln((x-2)/(x+2))
(1)y'=e^x²(2x)
(2)y=[ln(x-2)-ln(x+2)]/4
y'=[1/(x-2)-1/(x+2)]/4
=[4/(x²-4)]/4
=1/(x²-4)
这次对了.

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后面加 dx 就行了
1)dy=e^x²(2x)dx
2)dy=(1/4)(x+2)/(x-2)*[(x+2)-(x-2)]/(x+2)²dx
=(1/4)(x+2)/(x-2)*[4/(x+2)²]dx
=(x+2)/(x-2)dx