题目内容
(理)设函数f(x)=(x+1)2(x-2),则
等于( )
| lim |
| x→-1 |
| f′(x) |
| x+1 |
| A.6 | B.2 | C.0 | D.-6 |
∵f′(x)=2(x+1)(x-2)+(x+1)2
=3(x+1)(x-1),
∴
=
=
3(x-1)=-6.
故选D.
=3(x+1)(x-1),
∴
| lim |
| x→-1 |
| f′(x) |
| x+1 |
| lim |
| x→-1 |
| 3(x+1)(x-1) |
| x+1 |
=
| lim |
| x→-1 |
故选D.
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