Consider f(x) = 2\sqrt(x) a) Find f '(x) using the 4 step process ( f(x + h) - f(x)/h) where h is approaching zero. b) Find the slope of the line tangent to the curve at x = 4.

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

1. Consider f(x) = 2\sqrt(x)

a) Find f '(x) using the 4 step process ( f(x + h) - f(x)/h) where h is approaching zero.

b) Find the slope of the line tangent to the curve at x = 4.

 

2. Consider f(x) =3x^2 - 3x

a) Find f '(x) using the 4 step process (f(x + h) - f(x)/h) where h is approaching zero.

b) Find the slope of the line tangent to the curve at x = 2.

Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

the previous first question is an error. the square root x is supposed to be next to the two not divided. 2 square root of x 

Solution
Bartleby Expert
SEE SOLUTION
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