A. Let f(x)= 2x² +x. Use the definition of the derivative to find f'(x). B. Find the derivative of each of the following functions and evaiuate at the value of x indicated: i. y= 6x° +4x* -x' -x²,x= 15 3 ii. y=7-x -x -- iii. Using the sign of the derivative, tell if the graph of function in part (i) is increasing, decreasing or neither increasing nor decreasing.
A. Let f(x)= 2x² +x. Use the definition of the derivative to find f'(x). B. Find the derivative of each of the following functions and evaiuate at the value of x indicated: i. y= 6x° +4x* -x' -x²,x= 15 3 ii. y=7-x -x -- iii. Using the sign of the derivative, tell if the graph of function in part (i) is increasing, decreasing or neither increasing nor decreasing.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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![(Question 2]
A. Let f(x)= 2x² +x. Use the definition of the derivative to find f'(x).
B. Find the derivative of each of the following functions and evaiuate at the value of x
indicated:
i. y= 6x° +4x* – x² – x² , x= 15
ii. y=7-x - x²
3
,x= 3.
iii. Using the sign of the derivative, tell if the graph of function in part (i) is increasing,
decreasing or neither increasing nor decreasing.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc8b4e33-200f-4136-a5a9-8c4b487db8eb%2F0c323196-acd5-418e-be1c-c828309c5c04%2Ft1kslth6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(Question 2]
A. Let f(x)= 2x² +x. Use the definition of the derivative to find f'(x).
B. Find the derivative of each of the following functions and evaiuate at the value of x
indicated:
i. y= 6x° +4x* – x² – x² , x= 15
ii. y=7-x - x²
3
,x= 3.
iii. Using the sign of the derivative, tell if the graph of function in part (i) is increasing,
decreasing or neither increasing nor decreasing.
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