42. f(x) 1 -; a = 2 Зх — 1'

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

Can you solve number 42? I want the middle steps.

a. For the following functions and values of a, find f'(a).
b. Determine an equation of the line tangent to the graph of f at the
point (a, f(a)) for the given value of a.
33. f(x)
8x; a = -3
34. f(x) = x²; a = 3
35. f(x) = 4x² + 2x; a = -2 36. f(x) = 2x³; a = 10
%3D
%3D
1
37. f(x)
; a
4
1
38. f(x)
a = 1
Vx
39. f(x)
V2r + 1; a = 4
40. f(x) = V3x; a = 12
%3D
41. f(x)
1
-;a = 5
42. f(x)
1
; а %3D 2
x + 5
Зх — 1
Transcribed Image Text:a. For the following functions and values of a, find f'(a). b. Determine an equation of the line tangent to the graph of f at the point (a, f(a)) for the given value of a. 33. f(x) 8x; a = -3 34. f(x) = x²; a = 3 35. f(x) = 4x² + 2x; a = -2 36. f(x) = 2x³; a = 10 %3D %3D 1 37. f(x) ; a 4 1 38. f(x) a = 1 Vx 39. f(x) V2r + 1; a = 4 40. f(x) = V3x; a = 12 %3D 41. f(x) 1 -;a = 5 42. f(x) 1 ; а %3D 2 x + 5 Зх — 1
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

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