Homework Help is Here – Start Your Trial Now!
Math
Calculus
Find f(x) such that f'(x) = 9x² O f(x) = 3x³ - 2x² + 4 O f(x) = 3x³ - 2x² + 10 O f(x) = 3x³ - 2x² +8 O f(x) = 3x³ - 2x² +5 O f(x) = 3x³ - 2x² + 7 - 4x and f(1) = 6.

Find f(x) such that f'(x) = 9x² O f(x) = 3x³ - 2x² + 4 O f(x) = 3x³ - 2x² + 10 O f(x) = 3x³ - 2x² +8 O f(x) = 3x³ - 2x² +5 O f(x) = 3x³ - 2x² + 7 - 4x and f(1) = 6.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
### Problem Statement Find \( f(x) \) such that \( f'(x) = 9x^2 - 4x \) and \( f(1) = 6 \). ### Options 1. \( f(x) = 3x^3 - 2x^2 + 4 \) 2. \( f(x) = 3x^3 - 2x^2 + 10 \) 3. \( f(x) = 3x^3 - 2x^2 + 8 \) 4. \( f(x) = 3x^3 - 2x^2 + 5 \) 5. \( f(x) = 3x^3 - 2x^2 + 7 \) ### Explanation To solve this problem, we need to find the original function \( f(x) \) whose derivative \( f'(x) \) is given as \( 9x^2 - 4x \). Additionally, the value of the function at \( x = 1 \) should be 6. Evaluate each option to find which function satisfies these conditions.
Transcribed Image Text:### Problem Statement Find \( f(x) \) such that \( f'(x) = 9x^2 - 4x \) and \( f(1) = 6 \). ### Options 1. \( f(x) = 3x^3 - 2x^2 + 4 \) 2. \( f(x) = 3x^3 - 2x^2 + 10 \) 3. \( f(x) = 3x^3 - 2x^2 + 8 \) 4. \( f(x) = 3x^3 - 2x^2 + 5 \) 5. \( f(x) = 3x^3 - 2x^2 + 7 \) ### Explanation To solve this problem, we need to find the original function \( f(x) \) whose derivative \( f'(x) \) is given as \( 9x^2 - 4x \). Additionally, the value of the function at \( x = 1 \) should be 6. Evaluate each option to find which function satisfies these conditions.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS