已知a为实数,函数f(x)=x的立方-x的平方-x+a求f(x)的极值
人气:460 ℃ 时间:2019-08-18 17:48:41
解答
f(x)=x³-x²-x+af'(x)=3x²-2x-1令f'(x)=0,则(3x+1)(x-1)=0,x=-1/3或1x (-∞,-1/3) -1/3 (-1/3,1) 1 (1,+∞)f'(x) + 0 - 0 +f(x) 增 极大值 减 极小值 增∴f(x)极大值=f(-1/3)=(5/27)+af(x)极小值=f(1)...
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