Suppose the line tangent to the graph of f at x = 4 is y = 6x +5 and suppose y = 5x-1 is the line tangent to the graph of g at x= 4. Find the line tangent to the following curves at x = 4. a. y = f(x)g(x) f(x) b. y = g(x) ..... The equation of the line tangent to the curve y = f(x)g(x) at x = 4 is y = :

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 the line tangent to the graph of \( f \) at \( x = 4 \) is \( y = 6x + 5 \) and suppose \( y = 5x - 1 \) is the line tangent to the graph of \( g \) at \( x = 4 \). Find the line tangent to the following curves at \( x = 4 \).

**a.** \( y = f(x)g(x) \)  
**b.** \( y = \frac{f(x)}{g(x)} \)

---

The equation of the line tangent to the curve \( y = f(x)g(x) \) at \( x = 4 \) is \( y = \boxed{\phantom{y=}} \).
Transcribed Image Text:Suppose the line tangent to the graph of \( f \) at \( x = 4 \) is \( y = 6x + 5 \) and suppose \( y = 5x - 1 \) is the line tangent to the graph of \( g \) at \( x = 4 \). Find the line tangent to the following curves at \( x = 4 \). **a.** \( y = f(x)g(x) \) **b.** \( y = \frac{f(x)}{g(x)} \) --- The equation of the line tangent to the curve \( y = f(x)g(x) \) at \( x = 4 \) is \( y = \boxed{\phantom{y=}} \).
Expert Solution
trending now

Trending now

This is a popular 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