y=(x²-1)³+1的导数怎么求

y=(x²-1)³+1的导数怎么求
y=(x²-1)³+1的导数怎么求

y=(x²-1)³+1的导数怎么求
y′=3(x²-1)².2x
=6x(x²-1)²
令u=x²-1,
先对u³求导得,3u²=3(x²-1)²
再对u求导得,2x
相乘即可

y=(x²-1)³+1导数=[3(x²-1)^2]*2x=6x*(x²-1)^2

y=(x²-1)³+1
y'=3(x^2-1)^2 *2x=6x(x^2-1)^2

y'=[3(x²－1)²]×[x²－1]'=3(x²－1)²2x=6x(x²－1)²

y=(x²-1)³+1=(x6-3x4+3x2-1)+1=x6-3x4+3x2
dy=6x5-12x3+6x