29 Dec 2021
Problem 48a
Page 157
Section 2.7: The Derivative As a Function
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
29 Dec 2021
Given information
We are given a graph,
Using this distance-time graph we have to graph the velocity and acceleration. Also, we have to find acceleration at seconds.
Step-by-step explanation
Step 1.
From the given graph, we can observe that the curve is increasing very slowly in the interval and there is a rapid increase in the next interval . This means that the rate of change of the function is very low in the first interval and it is very high in the second interval.
Therefore, using this we can plot the derivative graph for the given graph as,
Here red curve symbolize the velocity function.