Derivitive of the X final equation?

Unsettledchim

1. The problem statement, all variables and given/known data
The derivitive of the X_final=.5at²+V_initialt+X_initial


2. Relevant equations
X_final=.5at²+V_initialt+X_initial

X_final= Final distance
X_initial= Initial distance
a= Acceleration
t= Time
V_initial= Initial velocity


3. The attempt at a solution
I have attempted the problem but get stuck almost immediatly.
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

rl.bhat

Here x(initial), v(initial) and acceleration are constant. So the derivative of the equation with respect to time is
d(xf)/dt = d(.5at^2)/dt + d(vi*t)/dt