反函數(shù)的二階導(dǎo)數(shù)
2019-12-17 09:47:14文/葉丹反函數(shù)的二階導(dǎo)數(shù)：y''=-y'*d2x/dy2。二階導(dǎo)數(shù)，是原函數(shù)導(dǎo)數(shù)的導(dǎo)數(shù)，將原函數(shù)進(jìn)行二次求導(dǎo)。一般的，函數(shù)y=f（x）的導(dǎo)數(shù)y'=f'（x）仍然是x的函數(shù)，則y''=f''（x）的導(dǎo)數(shù)叫做函數(shù)y=f（x）的二階導(dǎo)數(shù)。
反函數(shù)二階導(dǎo)數(shù)公式推導(dǎo)步驟
y=f(x)
要求d2x/dy2
dx/dy=1/(dy/dx)=1/y'
d2x/dy2=d(dx/dy)/dx*dx/dy
=-y''/y'2*1/y'
=-y''/y'3
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