Domain and Derivative Function Questionnaire

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4. [-/3 Points]
DETAILS
SCALCET9 2.XP.8.016.
Find the derivative of the function using the definition of derivative.
3
g(t) =
g(0)
ve
g'(t) =
State the domain of the function. (Enter your answer using interval notation.)
State the domain of its derivative. (Enter your answer using interval notation.)
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5
Dointel
STAI
CACETO 3 Y 2017
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5. [-73 Points)
DETAILS
SCALCET9 2.XP.8.017.
Find the derivative of the function using the definition of derivative.
g(x) = 72-*
g'(x) =
State the domain of the function. (Enter your answer using interval notation.)
State the domain of its derivative. (Enter your answer using interval notation.)
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6. [-/3 Points]
DETAILS
SCALCET9 2.XP.8.014.
Find the derivative of the function using the definition of derivative.
6. [-/3 Points]
DETAILS
SCALCET9 2.XP.8.014.
Find the derivative of the function using the definition of derivative.
1 – 4t
G(t)
6 +t
G'(t) =
State the domain of the function. (Enter your answer using interval notation.)
State the domain of its derivative. (Enter your answer using interval notation.)
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7. [-12 Points]
DETAILS
SCALCET9 2.8.053.
Use the definition of derivative to find f'(x) and f”(x).
f(x) = 5x² + 8x + 1
Fl(x)
7. [-12 Points]
DETAILS
SCALCET9 2.8.053.
Use the definition of derivative to find f'(x) and F”(x).
F(x) = 5×2 + 3x + 1
=
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8. [-17 Points]
DETAILS
SCALCET9 2.8.059.
Show that the function f(x) = 5x – 2] is not differentiable at 2.
We have
if x 2 2
f(x) = (x – 2) =
if x < 2. 8. [-17 Points] DETAILS SCALCET9 2.8.059. Show that the function f(x) = (x - 2] is not differentiable at 2. We have if x > 2
f(x) = (x – 2) =
if x < 2. The right-hand limit is lim f(x) – f(2) X-2 *-27 and the left-hand limit is f(x) - F(2) X-2 lim X-2 = Since these limits are not equal, f'(2) = lim f(x) – f(2) does not exist and f is not differentiable at 2. X2 x = 2 Find a formula for f' and sketch its graph. if x = 2 f'(x) = if x < 2 Graph Layers 7 6 After you add an object to the graph you Craph layers to view and edit its X2 EXISE and X-2 is not differentiable at 2. Find a formula for f' and sketch its graph. if x > 2
if x < 2 7 Graph Layers 6 5 5 After you add an object to the graph you can use Graph Layers to view and edit its properties. 4 نیا 3 Fill 2 1 -7 -6 -4 -3 -2 -1 -5 2. 3 4 B 6 7 No Solution -2 -3 -4 -5 -6 -7 Help WebAssign, Graphing Tool Nend Help? Read It Watch It 1. [-/1 Points] DETAILS SCALCET9 3.XP.1.011. Differentiate the function. F(x) = 270 f'(x) = Need Help? Read It Watch It 2. [-11 Points] DETAILS SCALCET9 3.XP. 1.012. Differentiate the function. f(x) = 82 e f'(x) = Need Help? Read It 3. [-/1 Points] DETAILS SCALCET9 3.1.003. Differentiate the function, g(x) = 3x + 4 g'(x) = 4. [-/1 Points] DETAILS SCALCET9 3.1.006.MI. Differentiate the function. g(x) = x2 - - 2x + 13 g'(x) = Need Help? Read It Master It 5. [-/1 Points] DETAILS SCALCET9 3.1.019.MI. Differentiate the function. f(x) = x2(x + 6) = (+ f'(x) = Need Help? Read It Watch it Master it 6. [-/1 Points] DETAILS SCALCET9 3.XP.1.015. Differentiate the function. g(t) = 4t-3/8 g'(t) = 7. [-/1 Points] DETAILS SCALCET9 3.XP.1.013. Differentiate the function. B(y) = cy - 2 B'(Y) = Need Help? Read It 8. [-/1 Points] DETAILS SCALCET9 3.XP.1.014. Differentiate the function. FD=3 F(T) = E'O) = Need Help? Read It Watch It 9. [-/1 Points] DETAILS SCALCET9 3.1.020. Differentiate the function, F(t) = (7t - 4)2 F'(t) = Need Help? Read It Watch it WTEX study 2022 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28710032 10. [-/1 Points] DETAILS SCALCET9 3.XP. 1.030. Differentiate the function. h(t) = Vt - set h'(t) = Need Help? Read It DETAILS 11. [-/1 Points] SCALCET9 3.1.021.MI. ho Differentiate the function. 5 y = 4e* + Need Help? Read It Watch It Master It 12. [-/10 Points] DETAILS SCALCET9 3.1.033.MI.SA. This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the s- 雞 study X 6 SOLU X X S 20220 X 6 20220 X S20220 x 3.1 DE X M My Bix Modux 18 2022 x www X 2 x M Home X KE X PEX https://www.webassign.net/web/Student/Assignment-Responses/tutorial?dep=28710032&tags-autosave#question4763404_11 12. [-/10 Points) DETAILS SCALCET9 3.1.033.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE A This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Differentiate the function. 7w2 - 5w + 3 y = Vw Step 1 7w? The function y = - 5W + 3 ſw is a quotient. It is important to remember that the derivative of a quotient F(W) is not the quotient of the derivatives P'(W) Instead, we find the derivative by first simplifying the quotient. We can re-write it as follows: g(w) g'(w 7w² Tw2 SW + 3 Sw 3 y = + VW w Remembering that w = w1/2 and that = WN-m, we will get the following: wm 7w2 VW 7w Sw = Sw 3w SubmSkip you cannot come back) Need Help? Rand Opera It's here! Instagram in the Opera browser 13. [-/1 Points] DETAILS SCALCET9 3.1.038. MY N Msi https://www.webassign.net/web/Student/Assignment-Responses/tutorial?dep=28710032&tags=autosave#question4763404_11 13. (-/1 Points) DETAILS SCALCET9 3.1.038. Find an equation of the tangent line to the curve at the given point. y = 60° + x, (0.6) y = Need Help? Read It DETAILS 14. (-/2 Points] SCALCET9 3.1.050. Find the first and second derivative of the function. G(r) = V8+ Vi G'() = GO) Need Help? Read it Watch It 15. [-14 Points] DETAILS SCALCET9 3.1.053. The equation of motion of a particle is s = 12 - 12t, where s is measured in meters and t is in seconds. (Assume t2 0.) Find the velocity and acceleration as functions of t. Use the graph to determine the x-values at which fis discontinuous. For each x-value, determine whether is continuous from the right, from the left, or neither. у f X 2 4 6 Step 1 To find the numbers for which fis discontinuous, we look for x-values for which the function is not defined or the left and right limits do not match. Starting from the left and moving right, the first x-value for which f(x) is discontinuous is x = At this point, f(x) is not defined. Therefore, at this point fis which of the following? continuous from the right continuous from the left neither Step 2 Moving right, the next x-value for which f(x) is discontinuous is x = 15. [-14 Points] DETAILS SCALCET9 3.1.053. The equation of motion of a particle is 5 = - 120, where s is measured in meters and t is in seconds. (Assume t 20.) (a) Find the velocity and acceleration as functions of t. (c) = a(t) = (b) Find the acceleration, in m/s?, after 5 seconds. m/s2 (c) Find the acceleration, in m/s2, when the velocity is 0. m/s2 Need Help? Road It Watch It 16. [-12 Points] DETAILS SCALCET9 3.1.059. Find the points on the curve y = x3 + 3x2 - 9x + 4 where the tangent is horizontal. smaller x-value (x,y) = larger x-value (x,y) = Need Help? Road 1 Watch it 17. [-/1 Points) DETAILS SCALCET9 3.1.065. Find an equation of the normal line to the curve of y = that is parallel to the line 6x + y = 1, y = Need Help? Road Watch Submit Assignment 9. [-13 Points] DETAILS SCALCET9 2.7.049. MY NOTES The cost (in dollars) of producing x units of a certain commodity is C(x) = 4,000 + 10x + 0.1x? (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x = 100 to the given value. (Round your answers to the nearest cent.) (0) x = 104 $ per unit (ii) x = 101 $ per unit (b) Find the instantaneous rate change (in $ per unit) of C with respect to x when x = 100. (This is called the marginal cost. Its significance will be explained in a future chapter.) $ per unit Need Help? Read it Watch It 10. [-/6 Points] DETAILS SCALCET9 2.7.014. MY NOTES The displacement (in feet) of a particle moving in a straight line is given by s = 12 - 7t + 18, where t is measured in seconds. (a) Find the average velocity (in ft/s) over each time interval. (1) [4, 8] ft/s (ii) [6, 8] Opera Ift/s It's here! Instagram the Opera (iii) [8, 10) Iftis (iv) [8, 12] si Your last submission is used for your score. 1. [-/2 Points] DETAILS SCALCET9 3.XP.5.003. Consider the following equation. 4x2 - y2 = 6 = 6 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = + Need Help? Read It Watch It 2. [-/1 Points] DETAILS SCALCET9 3.5.005.MI. dy Find by implicit differentiation. dx x2 - 18xy + y2 = 18 dy dx Need Help? Read It Watch It Master It 3. [-/1 Points] DETAILS SCALCET9 3.5.009. Find by implicit differentiation. dx x2 - y2 + 8 = x + y dx Need Help? Read It Watch It 4. [-11 Points] DETAILS SCALCET9 3.5.010. dy Find by implicit differentiation. dx xey = x - y dy dx Need Help? Read It 5. [-11 Points] DETAILS SCALCET9 3.5.015.MI. dx Need Help? Read it 5. [-/1 Points] DETAILS SCALCET9 3.5.015.MI. dy Find dx by implicit differentiation. y cos(x) = 3x2 + 5y2 = dx Need Help? Read It Watch it Master It 6. [-/1 Points] DETAILS SCALCET9 3.5.016. dy Find by implicit differentiation. dx cos(xy) = sin(x + y) + dx Need Help? Road it 新建标签页 х studypool - X S SOLUTION: mt15151.... - Mat X - G O https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28710032 For this assignment, you submit answers by question parts. The numbe Assignment Scoring Your last submission is used for your score. 1. [0/1 Points] DETAILS PREVIOUS ANSWERS SC. Differentiate the function. f(x) = 270 f'(x) = 70-2(69) f(x X Need Help? Read It Watch It 2. [1/1 Points] DETAILS PREVIOUS ANSWERS SC Differentiate the function. fly) - 2. 新建标签 X 4. Study pool - 搜索 XS SOLUTION: mt15151.... - Mat X M My Bill ai c https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28710032 0 Need Help? Read It 11. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET Differentiate the function. 5 y = 4e* + 31 37x y' = -(3) 5. = 40t + X 3 X Need Help? Read It Watch It Master It 2. [3/10 Points] DETAILS PREVIOUS ANSWERS SCALCET This question has several parts that must be completed sequentially. If you be able to come back to the skipped part. raypal * KONTAK https://www.webassign.net/web/Student Assignment astep30710010 VW w 1 -1/2 VW 3w Step 2 Therefore, we have 7² - 5W + 3 = 7w3/2 – Sw1/2 + 3w-1/2 Vw Now, since the function is a sum of power functions, we can use the Power Rule to find its derivative. Recall that according to the Power Rule, the derivative of w", where n is any real number is nw To use the Power Rule, we'll have to calculate the following 3 2 1 = 1 1 = 12 / 2 1 = Applying the power rule, we have the following. w212 (1 w 112 + (1 ])w-3/2 Submit Skip (you cannot come back) ed Help? Read it 1532 msi 新建标签 X studypoole X S SOLUTION: mt15151.... - Mat X M My Bill and Aid - myMiami X MTH 15 @ https://www.webassign.net/web/Student/Assignment Responses/last?dep=28710032 larger x-value (x, y) 1, -1 Need Help? Read It Watch It - [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 3.1.065. Find an equation of the normal line to the curve of y = ✓x that is parallel to the line 6x + y = 1. 1 -x+ y = 61 3 2 Need Help? Road' It Watch It Submit Assignment Save Assignment Home My Assignments Request Copyright © 1998 - 2022 Cengage Learning, Inc. All Rights Reserved | msi 11. [0/1 Points] DETAILS PREVIOUS ANSWER Differentiate the function. 5 y = 4e* + 3 49 ho VX y' = = wollte () 4e* – 5/3.x X X CHP WUR Road It Need Help? Watch It Master it Viewing Saved Work Revert to Last Response Submit Answer DETAILS PREVIOUS ANSWE 12. [3/10 Points] question4703404_11 Vw Step 1 フルス The function y = - 5w + 3 Vw is a quotient. It is important to remember that the derivative of a quotient Rw) is not the quotient of the derivatives (w), Instead, we find the derivative by first simplifying the quatient. We can re-orite it as follows (W) g'(W) 7w2 3 Y 7w2 - 5w + 3 w 5w Vw + ū w Remembering that w = w1/2 and that =wn-m, we will get the following. wm 7w² w 3/2 3/2 7w 5w VW 1/2 Sw wa -1/2 3w -1/2 Step 2 Therefore, we have 7w² - swt 3 VW 73/2 - 5w1/2 + 3w-1/2 Rehtoate the following: Now, since the function is a sum of power functions, we can use the Power Rule to find its derivative. Recall that according to the Power Rule, the derivative of w", where is any real number is 1/2 1 1/2 3-1 -1/2 -3/2 1-312 -3/2) -3,2 Applying the power rule, we have the following. 21/2 2112 wir 5/2 5/ 2-1/2 + (-3/2 v Step 3 Now we can conclude the following. Submit Skip (you cannot come back) Read It Need Help? https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28710034 1. [-12 Points) DETAILS SCALCET9 3.XP.5.003. Consider the following equation. 4x² – ² = 6 (a) Find y' by implicit differentiation. y (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y'= Need Help? Road it Watch 2. [-/1 Points] DETAILS SCALCET9 3.5.005.MI. Find dy by implicit differentiation. dx X2 – 18xy + y2 = 18 dy Need Help? Read it Watch Masterit 3. [-11 Points] DETAILS SCALCET9 3.5.009. Find by implicit differentiation, dx 2 = 7+ xty dy dx Need Help? Read it Watch 4. [-/1 Points] DETAILS SCALCET9 3.5.010. dy Find by implicit differentiation. last dep=28710034 Find dy dx by implicit differentiation. xey = x - y dy dx Need Help? Read It 5. 1-/1 Points) DETAILS SCALCET9 3.5.015.MI. Find dx en by implicit differentiation y cos(x) = 3x2 + 5y2 Need Help? Read it Watch Master it 6. [-/1 Points) DETAILS SCALCET9 3.5.016. dy Find by implicit differentiation. 뽑 cos(xy) = sin(x + y) dy dx Need Help? Read It 7. [-/1 Points) DETAILS SCALCET9 3.5.021. dy Find dx o by implicit differentiation, eX/Y = 8x - y dy dx Need Help? Radu Watch 8. [-/1 Points] DETAILS SCALCET9 3.XP.5.019. Find dy by implicit differentiation. dx tan +(2x2y) = x + 3xy2 = X dy dx Need Help? Road it Watch 9. [-/1 Points] DETAILS SCALCET9 3.XP.5.020. Find dy by implicit differentiation. dx * sin(y) + y sin(x) = 1 dy dx Need Help? Read It 10. 1-/1 Points] DETAILS SCALCET9 3.XP.5.021. PLEASE TO WWW.DE Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y sin(12x) = x cos(2y), (1/2, 1/4) y = Need Help? Read it Watch It 11. [-/1 Points] DETAILS SCALCET9 3.5.033.MI. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. *2 + y2 = (2x2 + 2y2- x)2 ( (cardioid) Need Help? Read it Watch It 11. [-/1 Points] DETAILS SCALCET9 3.5.033.MI. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. *2 + y2 = (2x2 + 2y3 – x)2 (0,5) (cardioid) y 0.5 х -0.5 0.5 1 0.5 CAL BASULA CAP EL PEOR Watch Master it Read li Need Help? sa Submit Assignment Home My Assignments rnnyright © 1998 - 2022 Cengage Learning, Inc. A Purchase answer to see full attachment Tags: management derivative Domain of the function User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.