The correct option is D 9y
We have,
y=e3x+2
To differentiate this function, we need to use chain rule.
First derivative of this function is:
dydx=e3x+2.ddx(3x+2)
dydx=3e3x+2=3y
Second derivative of this function is:
d2ydx2=ddx3e3x+2=3y.ddx(3x+2)
d2ydx2=9y