M Ends today! You could WIN $1,50b My Questions bartlebyN Review for Exam 2Yuzu: Calculus and Its Application XXXсreader.yuzu.com/#/books/9780135227794/cfi/210!/4/4@0.00:44.9ПІПЕ(in seconds)(in seconds)24. Find an equation of the line tangent to y = x + (4/x) atthe point (4, 5).25. Find the point(s) on the graph of y xthe tangent line is horizontalChapter 1 Differentia...С.D.3x2 at whichGo to Chapter 1 DifferentiationFind dy/dx1.1 Limits: A Numerical and102Graphical Approachx2327. y 4x + 5Vx26. у10Time(in seconds1.2 Algebraic Limits andContinuity28. у29. у %3D х5/4Time116(in secondsX-0.5x 0.61x + 90 31. yx 2x 430. уSYNTHESIS=1.3 Average Rates of Change127332. y (3Vx 1)(x2 - x)43. Differentiate y V(1 - 3x)2/3 (1 3x)1/3.33. f(x)1.4 Differentiation Using Limits of5-xDifference Quotientsx344. Find lim2734. f(x) (x 3)4(7 - x)535. y = (x3 - 4x336. f(x) xVx + 5х>3 х — 31.5 Leibniz Notation and the146Power and Sum-DiffereTechnology Connectionxt3x2, find1.6 The Product and Quotient37. For y=158Rules45. Graph fand f' over the interval [0, 5]. Then estimatepoints at which the line tangent to f is horizontal- 5Vx [0,5]38. Social sciences: memory. In a certain memory experi-ment, a person is able to memorize M words after t min-utes, where M = -0.001t + 0.1t2.a) Find the rate of change of the number of wordsmemorized with respect to timeb) How many words are memorized during the first10 min (at t 10)?c) At what rate are words being memorized after 10 min(at t10)?1.7 The Chain Rule166= 5x30x2 + 45x +f(x)1.8 Higher-Order Derivatives>46. Find the following limit by creating a table of values:V5x + 255limx0хStart with ATbl = 0.1 and then go to 0.01 and 0.001When you think you know the limit, graphV5x +25 5We've updated our read aloud feature!Give it a try here.39. Business: average revenue, cost, and profit. Givenrevenue and cost functionsу 3хSettingsAa5:15 PMDistance(in meters)Distance(in meters)

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i need help with questions 25-37 please and thank you

M Ends today! You could WIN $1,50
b My Questions bartleby
N Review for Exam 2
Yuzu: Calculus and Its Application X
X
X
с
reader.yuzu.com/#/books/9780135227794/cfi/210!/4/4@0.00:44.9
ПІПЕ
(in seconds)
(in seconds)
24. Find an equation of the line tangent to y = x + (4/x) at
the point (4, 5).
25. Find the point(s) on the graph of y x
the tangent line is horizontal
Chapter 1 Differentia...
С.
D.
3x2 at which
Go to Chapter 1 Differentiation
Find dy/dx
1.1 Limits: A Numerical and
102
Graphical Approach
x23
27. y 4x + 5Vx
26. у
10
Time
(in seconds
1.2 Algebraic Limits and
Continuity
28. у
29. у %3D х5/4
Time
116
(in seconds
X
-0.5x 0.61x + 90 31. y
x 2x 4
30. у
SYNTHESIS
=
1.3 Average Rates of Change
127
3
32. y (3Vx 1)(x2 - x)
43. Differentiate y V(1 - 3x)2/3 (1 3x)1/3.
33. f(x)
1.4 Differentiation Using Limits of
5-x
Difference Quotients
x3
44. Find lim
27
34. f(x) (x 3)4(7 - x)535. y = (x3 - 4x3
36. f(x) xVx + 5
х>3 х — 3
1.5 Leibniz Notation and the
146
Power and Sum-Differe
Technology Connection
xt3x2, find
1.6 The Product and Quotient
37. For y
=
158
Rules
45. Graph fand f' over the interval [0, 5]. Then estimate
points at which the line tangent to f is horizontal
- 5Vx [0,5]
38. Social sciences: memory. In a certain memory experi-
ment, a person is able to memorize M words after t min-
utes, where M = -0.001t + 0.1t2.
a) Find the rate of change of the number of words
memorized with respect to time
b) How many words are memorized during the first
10 min (at t 10)?
c) At what rate are words being memorized after 10 min
(at t10)?
1.7 The Chain Rule
166
= 5x
30x2 + 45x +
f(x)
1.8 Higher-Order Derivatives
>
46. Find the following limit by creating a table of values:
V5x + 25
5
lim
x0
х
Start with ATbl = 0.1 and then go to 0.01 and 0.001
When you think you know the limit, graph
V5x +25 5
We've updated our read aloud feature!
Give it a try here.
39. Business: average revenue, cost, and profit. Given
revenue and cost functions
у 3
х
Settings
Aa
5:15 PM
Distance
(in meters)
Distance
(in meters)
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M Ends today! You could WIN $1,50 b My Questions bartleby N Review for Exam 2 Yuzu: Calculus and Its Application X X X с reader.yuzu.com/#/books/9780135227794/cfi/210!/4/4@0.00:44.9 ПІПЕ (in seconds) (in seconds) 24. Find an equation of the line tangent to y = x + (4/x) at the point (4, 5). 25. Find the point(s) on the graph of y x the tangent line is horizontal Chapter 1 Differentia... С. D. 3x2 at which Go to Chapter 1 Differentiation Find dy/dx 1.1 Limits: A Numerical and 102 Graphical Approach x23 27. y 4x + 5Vx 26. у 10 Time (in seconds 1.2 Algebraic Limits and Continuity 28. у 29. у %3D х5/4 Time 116 (in seconds X -0.5x 0.61x + 90 31. y x 2x 4 30. у SYNTHESIS = 1.3 Average Rates of Change 127 3 32. y (3Vx 1)(x2 - x) 43. Differentiate y V(1 - 3x)2/3 (1 3x)1/3. 33. f(x) 1.4 Differentiation Using Limits of 5-x Difference Quotients x3 44. Find lim 27 34. f(x) (x 3)4(7 - x)535. y = (x3 - 4x3 36. f(x) xVx + 5 х>3 х — 3 1.5 Leibniz Notation and the 146 Power and Sum-Differe Technology Connection xt3x2, find 1.6 The Product and Quotient 37. For y = 158 Rules 45. Graph fand f' over the interval [0, 5]. Then estimate points at which the line tangent to f is horizontal - 5Vx [0,5] 38. Social sciences: memory. In a certain memory experi- ment, a person is able to memorize M words after t min- utes, where M = -0.001t + 0.1t2. a) Find the rate of change of the number of words memorized with respect to time b) How many words are memorized during the first 10 min (at t 10)? c) At what rate are words being memorized after 10 min (at t10)? 1.7 The Chain Rule 166 = 5x 30x2 + 45x + f(x) 1.8 Higher-Order Derivatives > 46. Find the following limit by creating a table of values: V5x + 25 5 lim x0 х Start with ATbl = 0.1 and then go to 0.01 and 0.001 When you think you know the limit, graph V5x +25 5 We've updated our read aloud feature! Give it a try here. 39. Business: average revenue, cost, and profit. Given revenue and cost functions у 3 х Settings Aa 5:15 PM Distance (in meters) Distance (in meters)

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Expert Answer

Step 1

Consider the given function.

y x-3x
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y x-3x

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Step 2

Since, the tangent line is horizontal. It means that this line is parallel to the x-axis.

Therefore, the slope is equal to zero.

Step 3

Now, differentiate wit...

dy d
-(x-3x*)
dx d
dy 3x6x0
dxc
6х
3x(x-2)0
х-
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dy d -(x-3x*) dx d dy 3x6x0 dxc 6х 3x(x-2)0 х-

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