Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
- f(x) = 2x^2 + 5x+1
- Use 5 long method for solution
- Use 6-long method for checking of solution
- Please refer to the image below for example
![Example
3. y = -x-5
d
dx
→y'=-1-0
→y' = -1
Differentiate the following functions:
4. f(x) = x³
du dv
dx dx
dx
dx
→ (u²) = nun-1 du
→ f'(x) = (3)(x³-1)
→ f'(x) = 3x²
6 long method for checking of solution
(u±v) = ±](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81b8c7ce-a4bf-406c-a0db-39f61d2ad481%2F19bfbc8a-72c6-4d6a-99c2-1edc83734a69%2Fui8bqa_processed.png&w=3840&q=75)
Transcribed Image Text:Example
3. y = -x-5
d
dx
→y'=-1-0
→y' = -1
Differentiate the following functions:
4. f(x) = x³
du dv
dx dx
dx
dx
→ (u²) = nun-1 du
→ f'(x) = (3)(x³-1)
→ f'(x) = 3x²
6 long method for checking of solution
(u±v) = ±
![Example
1. f(x) = x - 5
f(x + h) = f(x)
f'(x) = lim
= lim! h
lim
= lim
(x+h)-5-(x −5)
x+h-5-x+5
h
x-x+h-5+5
h
lim
h-oh
= lim 1
h→0
Therefore f'(x) = 1
5 long method](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81b8c7ce-a4bf-406c-a0db-39f61d2ad481%2F19bfbc8a-72c6-4d6a-99c2-1edc83734a69%2Ft60gsa_processed.png&w=3840&q=75)
Transcribed Image Text:Example
1. f(x) = x - 5
f(x + h) = f(x)
f'(x) = lim
= lim! h
lim
= lim
(x+h)-5-(x −5)
x+h-5-x+5
h
x-x+h-5+5
h
lim
h-oh
= lim 1
h→0
Therefore f'(x) = 1
5 long method
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