22 Dec 2021
Problem 31
Page 189
Section: 3.2 The Product and Quotient Rules
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
22 Dec 2021
Given information
Given function is 
Step-by-step explanation
Step 1.
The given curve is 
We need to find equations of the tangent line and normal line to this curve at the point
Let's differentiate this function applying The Product Rule
and The Constant Multiple Rule. Remember 
Therefore,
We know that the slope of a tangent at any point is the derivative at that point, so the slope of a tangent at 
is 
is Hence, the equation of a tangent at a given point is
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 30
- Problem 31
- Problem 32
- Problem 33b
- Problem 34a
- Problem 34b
- Problem 35a
- Problem 35b
- Problem 36a
- Problem 36b
- Problem 37a
- Problem 37b
- Problem 38a
- Problem 38b
- Problem 39
- Problem 40
- Problem 41a
- Problem 41b
- Problem 41c
- Problem 42a
- Problem 42b
- Problem 43
- Problem 46a
- Problem 46b
- Problem 48b
- Problem 48c
- Problem 52
- Problem 52
- Problem 57a
- Problem 57c
- Problem 58a
- Problem 58b
- Problem 58c
- Problem 59
- Problem 60a
- Problem 60c