Homework Help is Here – Start Your Trial Now!
Math
Calculus
Use the four-step definition of the derivative to find f'(x) if ƒ (x) = 3x³ + 1. f (x + h) = ƒ (x + h) − ƒ (x) = - f(x+h)-f(x) h ƒ'(x) =

Use the four-step definition of the derivative to find f'(x) if ƒ (x) = 3x³ + 1. f (x + h) = ƒ (x + h) − ƒ (x) = - f(x+h)-f(x) h ƒ'(x) =

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
Question
100%
**Question 3** Use the four-step definition of the derivative to find \( f'(x) \) if \( f(x) = 3x^3 + 1 \). 1. \( f(x + h) = \) [Box for Student Response] 2. \( f(x + h) - f(x) = \) [Box for Student Response] 3. \( \frac{f(x + h) - f(x)}{h} = \) [Box for Student Response] 4. \( f'(x) = \) [Box for Student Response]
Transcribed Image Text:**Question 3** Use the four-step definition of the derivative to find \( f'(x) \) if \( f(x) = 3x^3 + 1 \). 1. \( f(x + h) = \) [Box for Student Response] 2. \( f(x + h) - f(x) = \) [Box for Student Response] 3. \( \frac{f(x + h) - f(x)}{h} = \) [Box for Student Response] 4. \( f'(x) = \) [Box for Student Response]
Expert Solution
Step 1: Given

G i v e n space F u n c t i o n comma f open parentheses x close parentheses space equals space 3 x cubed plus 1

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