To determine

To find: Equation of the tangent line.

Answer

Answer: y=e

Explanation

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