7 Dec 2021
Problem 23
Page 289
Section 4.4: Graphing with Calculus and Calculators
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
7 Dec 2021
Given information
Use a graph to estimate the coordinates of the leftmost point on the curve then find at what point does the curve have the vertical and horizontal tangent.
Step-by-step explanation
Step 1.
Given:
The graph of the function is
For vertical tangents
The slope of tangent is at the point
Then
Factoring we get
Now for
For
For
Similarly
Solving
Similarly
Hence
Vertical tangents are
Horizontal tangents coordinates are