Question

过原点作y=e的x方的曲线的切线,则切点的坐标为?切线的斜率为?

Answer 1

y=e^x,

y'=e^x

设切点(x0,y0)

y0=e^x0(x-x0)

y0=e^x0

e^x0=(y0/x0

x0=1,y0=e,切点坐标是(1,e)

斜率是:e