12 Nov 2021
Problem 4d
Page 237
Section 3.8: Rates of Change in the Natural and Social Sciences
Chapter 3: Differentiation Rules
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12 Nov 2021
Given information
- Given: A particle moves according to a law of motion .
- To find :When is the particle moving in the positive direction.
Step-by-step explanation
Step 1.
The particle is moving in the positive direction when its derivative is positive. As we know all points where the velocity is equal to zero, we should test one point in each region bounded by the points to discover which of these regions are positive.
For , test the point :
.
So, in this region the particle's motion is positive.