25. dy dx y = 3x(2x + 1)³ 3x(3)(2x + 1)²(2) + (2x + 1)³(3) = (18x)(2x + 1)² + 3(2x + 1)3³ = 3(2x + 1)²[6x + (2x + 1)] = 3(2x + 1)²(8x + 1)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.4: Binomial Theorem
Problem 12.78TI: Find the coefficient of the x4 term of (x+2)7.
icon
Related questions
Question

Help explain step by step

25.
dy
dx
y = 3x(2x + 1)³
3x(3)(2x + 1)²(2) + (2x + 1)³(3)
= (18x)(2x + 1)² + 3(2x + 1)3³
= 3(2x + 1)²[6x + (2x + 1)]
= 3(2x + 1)²(8x + 1)
Transcribed Image Text:25. dy dx y = 3x(2x + 1)³ 3x(3)(2x + 1)²(2) + (2x + 1)³(3) = (18x)(2x + 1)² + 3(2x + 1)3³ = 3(2x + 1)²[6x + (2x + 1)] = 3(2x + 1)²(8x + 1)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage