Let f (z) = 2 z² +6 z +5. We will use the definition of derivative to find the deivativ (1) What is the definition of derivative of ƒ (z)? O f' (x) = lim h→0 f(z+2 h)–f(z+h) 2 h O f' (z) = lim f(z+h)-f(z-h) h0 O f' (z) = „lim f(z+h)-f(z) h→0 O f' (2) = f(z+h)-f(z) h (1i) Which one is the corect statement (the next step to find f' (z) by definition)? 2 (z+h)² +6(z+h)+5-(2 z² +6 z+5) f' (z) = lim h→0 h 2 (z+2 h)²+6(z+2 h)+5-(2 2²+6 z+5) O f' (z) = lim 2 z² +6 z+5+ h -(2 2² +6 z+5) O f' (z) = _lim h→0 2 (z+h)² +6(z+h)+5–(2 z²+6 z+5) O g' (z) h
Let f (z) = 2 z² +6 z +5. We will use the definition of derivative to find the deivativ (1) What is the definition of derivative of ƒ (z)? O f' (x) = lim h→0 f(z+2 h)–f(z+h) 2 h O f' (z) = lim f(z+h)-f(z-h) h0 O f' (z) = „lim f(z+h)-f(z) h→0 O f' (2) = f(z+h)-f(z) h (1i) Which one is the corect statement (the next step to find f' (z) by definition)? 2 (z+h)² +6(z+h)+5-(2 z² +6 z+5) f' (z) = lim h→0 h 2 (z+2 h)²+6(z+2 h)+5-(2 2²+6 z+5) O f' (z) = lim 2 z² +6 z+5+ h -(2 2² +6 z+5) O f' (z) = _lim h→0 2 (z+h)² +6(z+h)+5–(2 z²+6 z+5) O g' (z) h
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
![Let f (x) = 2 a2 + 6 x +5. We will use the definition of derivative to find the deivativ
(1) What is the definition of derivative of f (æ)?
O f' (2) = lim
f(x+2 h)– f(x+h)
2 h
O f' (2) = lim
f(z+h)-f(x-h)
h0
h
f(x+h)-f(x)
O f' (x) = lim
h
O f' (æ) =
f(x+h)-f(x)
h
(ii) Which one is the correct statement (the next step to find f' (æ) by definition)?
2 (z+h)2 +6(x+h)+5-(2 a² +6 x+5)
f' (x) = lim
h→0
h
2 (x+2 h)²+6(x+2 h)+5-(2 2² +6 æ+5
O f' (2) = lim
h
2 a2 +6 z+5+ h - (2 a² +6 x+5)
O f' (z) = lim
h→0
2 (x+h)2 +6(x+h)+5-(2 x² +6 ¤+5
O f' (2)
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46613f9b-bcdd-4fe5-bafd-016324cbef0f%2F5bdee4e7-959b-40bb-85ab-cbdec1946ab8%2Fy3i1pe_processed.png&w=3840&q=75)
Transcribed Image Text:Let f (x) = 2 a2 + 6 x +5. We will use the definition of derivative to find the deivativ
(1) What is the definition of derivative of f (æ)?
O f' (2) = lim
f(x+2 h)– f(x+h)
2 h
O f' (2) = lim
f(z+h)-f(x-h)
h0
h
f(x+h)-f(x)
O f' (x) = lim
h
O f' (æ) =
f(x+h)-f(x)
h
(ii) Which one is the correct statement (the next step to find f' (æ) by definition)?
2 (z+h)2 +6(x+h)+5-(2 a² +6 x+5)
f' (x) = lim
h→0
h
2 (x+2 h)²+6(x+2 h)+5-(2 2² +6 æ+5
O f' (2) = lim
h
2 a2 +6 z+5+ h - (2 a² +6 x+5)
O f' (z) = lim
h→0
2 (x+h)2 +6(x+h)+5-(2 x² +6 ¤+5
O f' (2)
h
![Let f (æ) = 2 a2 + 6 x + 5 . We will use the definition of derivative to find the deivative of f
1) What is the definition of derivative of f (x)?
O f' (x) = lim
f(x+2 h)– f(x+h)
2 h
O f' (x) = lim
f(x+h)-f(x-h)
h
O f' (2) = lim
f(r+h)-f(x)
h→0
h
O f' (x) =
f(x+h)-f(x)
h
(i) Which one is the correct statement (the next step to find f' (æ) by definition)?
2 (z+h)2 +6(x+h)+5-(2 a² +6 æ+5)
f' (x) = lim
h→0
%3D
h
2 (x+2 h)²+6(x+2 h)+5-(2 2² +6 æ+5
O f' (x) = lim
h
2 a2 +6 x+5+ h -(2 22 +6 x+5)
O f' (z) = lim
h
2 (x+h)2 +6(x+h)+5-(2 x² +6 x+5)
O f' (2) =
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46613f9b-bcdd-4fe5-bafd-016324cbef0f%2F5bdee4e7-959b-40bb-85ab-cbdec1946ab8%2Fmhms9qm_processed.png&w=3840&q=75)
Transcribed Image Text:Let f (æ) = 2 a2 + 6 x + 5 . We will use the definition of derivative to find the deivative of f
1) What is the definition of derivative of f (x)?
O f' (x) = lim
f(x+2 h)– f(x+h)
2 h
O f' (x) = lim
f(x+h)-f(x-h)
h
O f' (2) = lim
f(r+h)-f(x)
h→0
h
O f' (x) =
f(x+h)-f(x)
h
(i) Which one is the correct statement (the next step to find f' (æ) by definition)?
2 (z+h)2 +6(x+h)+5-(2 a² +6 æ+5)
f' (x) = lim
h→0
%3D
h
2 (x+2 h)²+6(x+2 h)+5-(2 2² +6 æ+5
O f' (x) = lim
h
2 a2 +6 x+5+ h -(2 22 +6 x+5)
O f' (z) = lim
h
2 (x+h)2 +6(x+h)+5-(2 x² +6 x+5)
O f' (2) =
h
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning