The graph shown is the second derivative
⇒ first derivative equals the area between
- the second derivative function from 0 to 2
- the axis
Thus the first derivative f(2) equals
- c: represents the initial position
However there is an inital position for the first derivative ⇒ f(0) = 2.5
Therefore we must add the initial position to the first derivative found
f(2) = 8 + 2.5 = 10.5
Hope that helps!