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

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
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