Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Kate and Sarah are working on taking the derivative of f(x) = Kate uses the quotient rule to get, f'(x) = (3x+4) 2-2x (3) (3x+4)² = 8 (3x+4)² 2x 3x+4 Sarah converts it into a product and uses the product rule and the chain rule: f(x) = 2x(3x + 4)-¹ f'(x) = 2x(-1)(3x + 4)−²(3)+2(3x + 4)-¹ = 2(3x + 4)¯¹ − 6x(3x+4)¯² . Explain the discrepancies between the two answers. Which procedure do you think is preferable? Explain. Answer should be in 3-5 sentences.

Kate and Sarah are working on taking the derivative of f(x) = Kate uses the quotient rule to get, f'(x) = (3x+4) 2-2x (3) (3x+4)² = 8 (3x+4)² 2x 3x+4 Sarah converts it into a product and uses the product rule and the chain rule: f(x) = 2x(3x + 4)-¹ f'(x) = 2x(-1)(3x + 4)−²(3)+2(3x + 4)-¹ = 2(3x + 4)¯¹ − 6x(3x+4)¯² . Explain the discrepancies between the two answers. Which procedure do you think is preferable? Explain. Answer should be in 3-5 sentences.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Kate and Sarah are working on taking the derivative of f(x) = Kate uses the quotient rule to get, f'(x) = (3x+4) 2-2x (3) (3x+4)² = 8 (3x+4)² 2x 3x+4 Sarah converts it into a product and uses the product rule and the chain rule: f(x) = 2x(3x + 4)-¹ f'(x) = 2x(-1)(3x + 4)−²(3)+2(3x + 4)-¹ = 2(3x + 4)¯¹ − 6x(3x+4)¯² . Explain the discrepancies between the two answers. Which procedure do you think is preferable? Explain. Answer should be in 3-5 sentences.
Transcribed Image Text:Kate and Sarah are working on taking the derivative of f(x) = Kate uses the quotient rule to get, f'(x) = (3x+4) 2-2x (3) (3x+4)² = 8 (3x+4)² 2x 3x+4 Sarah converts it into a product and uses the product rule and the chain rule: f(x) = 2x(3x + 4)-¹ f'(x) = 2x(-1)(3x + 4)−²(3)+2(3x + 4)-¹ = 2(3x + 4)¯¹ − 6x(3x+4)¯² . Explain the discrepancies between the two answers. Which procedure do you think is preferable? Explain. Answer should be in 3-5 sentences.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS