Let f(x) = -3x² + C, where C is any real number. Then the expression f(x+h)-f(x) h can be written in the form Ah + Bx + D, where A, B, and D are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = B = D= Use your answer from above to find f'(x). f'(x)=\

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.4: Quadratic Equations
Problem 142E
icon
Related questions
Question
Let f(x) = -3x² + C, where C is any real number. Then the expression
f(x+h)-f(x)
h
can be written in the form Ah + Bx + D, where A, B, and D are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants.
A =
B =
D =
Use your answer from above to find f'(x).
f'(x) = [
Transcribed Image Text:Let f(x) = -3x² + C, where C is any real number. Then the expression f(x+h)-f(x) h can be written in the form Ah + Bx + D, where A, B, and D are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = B = D = Use your answer from above to find f'(x). f'(x) = [
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill