Should velocity be defined as the rate of change of displacement?

What is displacement?

According to Fundamentals of Physics (10th edition) by D. Halliday, R. Resnick and J. Jewett:

The displacement of a particle is the change in its position.

Mathematically, displacement, x = final position - initial position and it is a vector quantity.

What is velocity?

According to Fundamentals of Physics (10th edition) by D. Halliday, R. Resnick and J. Jewett,

Velocity is the derivative of x (position) with respect to t (time).

In other words, velocity is the time rate of change of  position and it is also a vector quantity. Mathematically, velocity = dx/dt.

However, according to Physics Matters GEO 'O' Level Physics (4th edition) by C. Chew, S.F. Chow and B.T. Ho:

Velocity is the rate of change of displacement.

In other words, Physics Matters GEO 'O' Level Physics is saying that velocity is the rate of change of change of position. In my humble opinion, the definition might be technically incorrect.

Since I am on the topic of displacement and velocity, let me end off by posing a challenge to you: For motions in 1 dimension, are you able to determine the speed-time (distance-time) graph from its velocity-time graph (displacement-time) graph? How about velocity-time graph (displacement-time) from its speed-time (distance-time) graph?