来自陆欣的问题
【导数,求具体过程,f(x)=x^3/(x^2-1)的一阶二阶导数求具体过程】
导数,求具体过程,
f(x)=x^3/(x^2-1)的一阶二阶导数求具体过程
3回答
2020-11-21 01:13
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娄国焕
f'(x)=(3x^2(x^2-1)-x^3*2x)/(x^2-1)^2
=(3x^4-3x^2-2x^4)/(x^2-1)^2
=(x^4-3x^2)/(x^2-1)^2
f''(x)=((4x^3-6x)(x^2-1)^2-(x^4-3x^2)*2(x^2-1)*2x)/(x^2-1)^4
=(4x^3-6x)/(x^2-1)^2-4x(x^4-3x^2)/(x^2-1)^3
2020-11-21 01:13:48
陆欣
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2020-11-21 01:16:30
娄国焕
f''(x)=2x/(x^2-1)^3*[(2x^2-3)(x^2-1)-2x^4+6x^2)]=2x/(x^2-1)^3*[2x^4-5x^2+3-2x^4+6x^2]=2x(x^2+3)/(x^2-1)^3���������ˡ�
2020-11-21 01:20:25