(理科做)设f(x)为可导函数,且满足
=-1,则过曲线y=f(x)上点(1,f(1))处的切线率为
( )
| lim |
| x→0 |
| f(1)-f(1-2x) |
| 2x |
( )
| A.2 | B.-1 | C.1 | D.-2 |
∵
=
=-1,即y'|x=1=-1,
∴y═f(x)在点(1,f(1))处的切线斜率为-1,
故选B.
| lim |
| x→0 |
| f(1)-f(1-2x) |
| 2x |
| lim |
| x→0 |
| f(1)-f(1-2x) |
| 1-(1-2x) |
∴y═f(x)在点(1,f(1))处的切线斜率为-1,
故选B.