微积分题目

求Y关于X的N阶导数
（1)Y=IN(3+7X-6X^2)
(2)Y=(SINX)^2+(COSX)^4
(3)Y=1/(X-X^2)

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y=ln(-6x^2+7x+3)此题需用运用复合函数的求导法则，巧尺则有：
y'=[1/(-6x^2+7x+3)]*(-6x^2+7x+3)'
=[1/(-6x^2+7x+3)]*(-12x+7)
=(7-12x)/(-6x^2+7x+3).

y=sin^2x+cos^4x此题和函数和复合函数的综合求导，步骤孝燃高为：
y'=2sinx*(sinx)'+4cos^3x*(cosx)'=2sinxcosx+4cos^3x(-sinx)
=2sinxcosx(1-2cos^2x)
=-sin2x*cos2x
=-(1/2)sin4x

y=1/(x-x^2)此题是函数商的求导段仔，步骤为：
y'=-(x-x^2)'/(x-x^2)^2
=-(1-2x)/(x-x^2)^2.

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