Find the value of the derivative (if it exists) at the indicated extremum. (446) f(x)=-3x√x + 2 -4 -2 10 5 -5 -10- 2 Differentiate f(x) using the product rule. f'(x)=-3x Step 1 The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs when x = The specified function is f(x) = -3x√√x + 2 = −3x(x + 2)1/2, 4 ] (x + 2)²¹/2] + + (x + 2)¹/2. (
Find the value of the derivative (if it exists) at the indicated extremum. (446) f(x)=-3x√x + 2 -4 -2 10 5 -5 -10- 2 Differentiate f(x) using the product rule. f'(x)=-3x Step 1 The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs when x = The specified function is f(x) = -3x√√x + 2 = −3x(x + 2)1/2, 4 ] (x + 2)²¹/2] + + (x + 2)¹/2. (
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![Find the value of the derivative (if it exists) at the indicated extremum.
-4 4√6
(글,
f(x) =
3
== 3xVx + 2
-4
-2
10
-5
Submit Skip (you cannot come back)
- 10
Differentiate f(x) using the product rule.
f'(x) = -3x
Step 1
The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs
-4
when x =
3
The specified function is f(x) = -3x√√√x + 2 = − 3x(x + 2)¹/2.
2
1
- 2)²¹/²] +
(x + 2)
4
+ (x + 2)¹/2 . (](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab6702de-5579-4c14-bacb-4d8e7e421acd%2F3634d6e6-d057-4c14-b5ed-9b28b162f918%2F6zvfd60q_processed.png&w=3840&q=75)
Transcribed Image Text:Find the value of the derivative (if it exists) at the indicated extremum.
-4 4√6
(글,
f(x) =
3
== 3xVx + 2
-4
-2
10
-5
Submit Skip (you cannot come back)
- 10
Differentiate f(x) using the product rule.
f'(x) = -3x
Step 1
The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs
-4
when x =
3
The specified function is f(x) = -3x√√√x + 2 = − 3x(x + 2)¹/2.
2
1
- 2)²¹/²] +
(x + 2)
4
+ (x + 2)¹/2 . (
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 9 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
The previous solution is incorrect
![Find the value of the derivative (if it exists) at the indicated extremum.
(-4, 4√6)
3
f(x) = − 3x√x + 2
-4
-2
10
5
-5
- 10
Step 1
The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs
-4
when x =
3
The specified function is f(x) = −3x√x + 2
=
Differentiate f(x) using the product rule.
f'(x) = -3x
2
−3x(x + 2)¹/2.
1
|× (x + 2) ¹/²]
+ (x + 2)¹/2 .](https://content.bartleby.com/qna-images/question/ab6702de-5579-4c14-bacb-4d8e7e421acd/8156e3a4-a9d8-4a66-8c9f-a4d52c0b407d/8fssdgd_processed.png)
Transcribed Image Text:Find the value of the derivative (if it exists) at the indicated extremum.
(-4, 4√6)
3
f(x) = − 3x√x + 2
-4
-2
10
5
-5
- 10
Step 1
The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs
-4
when x =
3
The specified function is f(x) = −3x√x + 2
=
Differentiate f(x) using the product rule.
f'(x) = -3x
2
−3x(x + 2)¹/2.
1
|× (x + 2) ¹/²]
+ (x + 2)¹/2 .
Solution
by Bartleby ExpertRecommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning