曲线y=1/(t-x)过点P(2,-1),则曲线在点P处的切线方程为______.
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![曲线y=1/(t-x)过点P(2,-1),则曲线在点P处的切线方程为______.](/uploads/image/z/14469539-59-9.jpg?t=%E6%9B%B2%E7%BA%BFy%3D1%2F%EF%BC%88t-x%EF%BC%89%E8%BF%87%E7%82%B9P%EF%BC%882%2C-1%EF%BC%89%2C%E5%88%99%E6%9B%B2%E7%BA%BF%E5%9C%A8%E7%82%B9P%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%B9%E7%A8%8B%E4%B8%BA%EF%BC%BF%EF%BC%BF%EF%BC%BF%EF%BC%BF%EF%BC%BF%EF%BC%BF.)
曲线y=1/(t-x)过点P(2,-1),则曲线在点P处的切线方程为______.
曲线y=1/(t-x)过点P(2,-1),则曲线在点P处的切线方程为______.
曲线y=1/(t-x)过点P(2,-1),则曲线在点P处的切线方程为______.
把(2,-1)代入可得t=1,则曲线为y=1/(1-x);求导可得y'=1/(1-x)^2,把p点代入求斜率为k=1,则切线方程为y=x-3