Exercise3. Determine the first and second derivative given the following functions. 1. f(x)=x - 9x² + 27x- 27 Answer: 3x –18x+27, 6x–18 1 2. y -1 Answer: 2 3. f(x)= 4(x° -1} Answer: 16x –16x , 48x? -16 1 4. y=(² -3x) Answer: 3x –12x +9, 6x –12

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...
icon
Related questions
Question

show the solutions here 

Exercise3. Determine the first and second derivative given the following
functions.
1. f(x)=x - 9x² + 27x- 27
Answer: 3x –18x+27, 6x–18
1
2. y
-1
Answer:
2
3. f(x)= 4(x° -1}
Answer: 16x –16x , 48x? -16
1
4. y=(² -3x)
Answer: 3x –12x +9, 6x –12
Transcribed Image Text:Exercise3. Determine the first and second derivative given the following functions. 1. f(x)=x - 9x² + 27x- 27 Answer: 3x –18x+27, 6x–18 1 2. y -1 Answer: 2 3. f(x)= 4(x° -1} Answer: 16x –16x , 48x? -16 1 4. y=(² -3x) Answer: 3x –12x +9, 6x –12
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning