Simple Derivative

remember
d(abc)/dt=(bc)da/dt+(ac)db/dt+(ab)dc/dt

let a=2
b=t
and c=e^(t^2)

da/dt=d(2)/dt=0 remember derivitives of constants are 0

db/dt=dt/dt=1

and dc/dt=d(e^(t^2))/dt=e^(t^2)d(t^2)/dt=2te^(t^2) apply the chain rule

It looks like you're on the right track

Rap