Derivitive of the X final equation?

[Unsettledchim]

Homework Statement

The derivative of the X_final=.5at²+V_initialt+X_initial

Homework Equations

X_final=.5at²+V_initialt+X_initial

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

The Attempt at a Solution

I have attempted the problem but get stuck almost immediatly.

 

[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