20 Dec 2021
Problem 57
Page 182
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
20 Dec 2021
Given information
We are given the parabolic equation 
that passes through the point 
.
Step-by-step explanation
Step 1.
Note that all points on the parabola are of the form 
are of the form Assume that the tangent at 
passes through
passes through We know that the slope of tangent at any point is the derivative at that point.
Differentiate , To get , 
, Therefore, the slope of tangent at 
Since the tangent passes through the points and , We can write the slope of the tangent as
and , We can write the slope of the tangent as
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39a
- Problem 39b
- Problem 39c
- Problem 40a
- Problem 40b
- Problem 40c
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45a
- Problem 45b
- Problem 45c
- Problem 46a
- Problem 46b
- Problem 46c
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58a
- Problem 58b
- Problem 59
- Problem 60a
- Problem 60b
- Problem 61
- Problem 62
- Problem 63a
- Problem 63b
- Problem 63c
- Problem 64a
- Problem 64b
- Problem 66
- Problem 67
- Problem 68
- Problem 74