To find: Equation of the tangent line.
Answer: y=e
Explanation:y=exx.
Then m=dydx=y'=xex-exx2=x-1exx2. Substitute x=1, y=e, then the slope,m=0.
The equation of the tangent line is y-y0=mx-x0, i.e.,y=e.
Conclusion: y=e