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6x*(x^2-1)^2求导
答案是6(x^2-1)(5x^2-1)
我想知道详细过程,谢谢.
人气:105 ℃ 时间:2020-01-30 19:50:48
解答
[6x*(x^2-1)^2]′
=6x′*(x^2-1)^2+6x*[(x^2-1)^2]′
=6*(x^2-1)^2+6x*2(x^2-1)*(x^2-1)′
=6*(x^2-1)^2+12x*(x^2-1)*2x
=6*(x^2-1)^2+24x^2(x^2-1)
=6*(x^2-1)(x^2-1+4x^2)
=6(x^2-1)(5x^2-1)
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