已知曲线y=f(x)在点(x0,f(x0))处的切线方程为x+2y+5=0,则f'(x0)=

问题描述:

已知曲线y=f(x)在点(x0,f(x0))处的切线方程为x+2y+5=0,则f'(x0)=

曲线y=f(x)在点(x0,f(x0))处的切线方程为x+2y+5=0
f'(x0)即为曲线在x=x0处切线的斜率
∵x+2y+5=0中k=-1/2
∴f'(x0)=-1/2