Suppose R '(1) = 6. (a) If f(x) = R(4x), find f f' (1/1) 4 || (4). (b) If g(x) = R(x + 2), find g '(-1). g'(-1) = (c) If h(x) = R(\), find h ' (3) . h'(3) =

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...
icon
Related questions
Question
Suppose \( R'(1) = 6 \).

(a) If \( f(x) = R(4x) \), find \( f'\left( \frac{1}{4} \right) \).

\[ f'\left( \frac{1}{4} \right) = \boxed{} \]

(b) If \( g(x) = R(x + 2) \), find \( g'(-1) \).

\[ g'(-1) = \boxed{} \]

(c) If \( h(x) = R\left(\frac{x}{3}\right) \), find \( h'(3) \).

\[ h'(3) = \boxed{} \]
Transcribed Image Text:Suppose \( R'(1) = 6 \). (a) If \( f(x) = R(4x) \), find \( f'\left( \frac{1}{4} \right) \). \[ f'\left( \frac{1}{4} \right) = \boxed{} \] (b) If \( g(x) = R(x + 2) \), find \( g'(-1) \). \[ g'(-1) = \boxed{} \] (c) If \( h(x) = R\left(\frac{x}{3}\right) \), find \( h'(3) \). \[ h'(3) = \boxed{} \]
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

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