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
49
![Section 11.4 The Product Rule and the Quotient Rule
525
47. f(x) =
where a is a constant
%3D
)(7x+2)
-
)(7x² – 5)
48. f(x) =
where a is a constant
x-1 – a-!
49. Find the slope of the curve y = (2x² – x +3)(x³ +x +1) at
(1, 12).
-
2x + 2)
50. Find the slope of the curve y =
to
at (–1, –).
In Problems 51–54, find an equation of the tangent line to the
x4 +1
curve at the given point.
9.
7:(3,3)
51. y=
52. y =
x + 5
12:(1,6)
-
53. y = (2x + 3)[2(x* – 5x² + 4)]; (0, 24)
%3D
x - 1
54. y =
%3D
x(x²+ 1) · (2, 16)
In Problems 55 and 56, determine the relative rate of change of y
with respect to x for the given value of x.
-3)
55. y =
56. y =
%3D
2x - 6
Iミr:2
57. Motion
The position function for an object moving in a
straight line is
2.
= S
where t is in seconds and s is in meters. Find the position and
velocity of the object at t = 1.
58. Motion
The position function for an object moving in a
straight-line path is
t+3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e2d6f28-e3d7-414c-b1d4-a752131175c2%2Fe1dd645c-668b-479e-9b58-44da2d5af225%2Fvgbq0zn.jpeg&w=3840&q=75)
Transcribed Image Text:Section 11.4 The Product Rule and the Quotient Rule
525
47. f(x) =
where a is a constant
%3D
)(7x+2)
-
)(7x² – 5)
48. f(x) =
where a is a constant
x-1 – a-!
49. Find the slope of the curve y = (2x² – x +3)(x³ +x +1) at
(1, 12).
-
2x + 2)
50. Find the slope of the curve y =
to
at (–1, –).
In Problems 51–54, find an equation of the tangent line to the
x4 +1
curve at the given point.
9.
7:(3,3)
51. y=
52. y =
x + 5
12:(1,6)
-
53. y = (2x + 3)[2(x* – 5x² + 4)]; (0, 24)
%3D
x - 1
54. y =
%3D
x(x²+ 1) · (2, 16)
In Problems 55 and 56, determine the relative rate of change of y
with respect to x for the given value of x.
-3)
55. y =
56. y =
%3D
2x - 6
Iミr:2
57. Motion
The position function for an object moving in a
straight line is
2.
= S
where t is in seconds and s is in meters. Find the position and
velocity of the object at t = 1.
58. Motion
The position function for an object moving in a
straight-line path is
t+3
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