Suppose f(x) = 2ax3 + b3x − 4c where a, b and c are real constants. Suppose that f has a horizontal tangent line at x = 2, and that the tangent line to f at x = 0 is given by y = 8x + 4. Use the given information to find all possible values for a, b, and c. Explain your reasoning
Suppose f(x) = 2ax3 + b3x − 4c where a, b and c are real constants. Suppose that f has a horizontal tangent line at x = 2, and that the tangent line to f at x = 0 is given by y = 8x + 4. Use the given information to find all possible values for a, b, and c. Explain your reasoning
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 79E
Related questions
Question
Suppose f(x) = 2ax3 + b3x − 4c where a, b and c are real constants. Suppose that f has a horizontal tangent line at x = 2, and that the tangent line to f at x = 0 is given by y = 8x + 4. Use the given information to find all possible values for a, b, and c. Explain your reasoning.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage