Question

An object moves along a coordinate line, its position at each time represented by a differentiable function. What does the first derivative of this function represent?

A. Velocity
B. Acceleration
C. Displacement
D. Time

Answer 1

The first derivative of a differentiable function represents the velocity of the object moving along the coordinate line. Velocity is the rate of change of displacement.

Step-by-step explanation:

The first derivative of a differentiable function represents the velocity of the object moving along the coordinate line. Velocity is the rate of change of displacement. It tells us how fast and in which direction the object is moving at any given time.