20 Dec 2021
Problem 67
Page 182
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
20 Dec 2021
Given information
The given points are , and
Step-by-step explanation
Step 1.
We need to find this cubic function whose graph has horizontal tangents at the given points.
Applying the Power Rule and The Constant Multiple Rule, we obtain:
From the fact that cubic function has horizontal tangent line at the given points, we can conclude that slope is zero, respectively, .
Now, let's set up the system of equations: