Find the coordinates of the stationary points on these curves and determine their nature.

a. y = xe^x/2

b. y = x²e^2x

c. y = e^x – 7x + 2

d. y = 5e^2x – 10x – 1

e. y = (x² – 8)e^-x

f. y = x² ln x

g. y = ln x/x²

h. y = ln(x² + 1)/x² + 1