Find the minimum distance from the origin to the curve y=e^x

a) 0.72

b) 0.74

c) 0.76

d) 0.78

e) 0.80

I used the distance formula using the pts. (0,0) and (x, e^x) to get:

d = sqrt(x^2 + e^2x)

However, I'm not sure where to go from there...

Any help is greatly appreciated.