5 Nov 2021
Problem 44
Page 157
Section 2.7: The Derivative As a Function
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
5 Nov 2021
Given information
The following graph is given:
Step-by-step explanation
Step 1.
Observe curve and curve .
Slope of curve is always increasing thus, the derivative of curve is always positive.
From the graph it follows that the curve which is always positive is curve .
Thus, curve is the derivative of curve .
Since velocity is the derivative of position it implies curve is velocity and curve is position.