5

Dz 9. (5 points) If x3 sin(2) + (24 1)y? = 2 find dy...

Question

Dz 9. (5 points) If x3 sin(2) + (24 1)y? = 2 find dy

dz 9. (5 points) If x3 sin(2) + (24 1)y? = 2 find dy



Answers

Evaluate dy/dx at the given points. $$\left(x y-y^{2}\right)^{3 / 2}=5 y^{2}+3 ; \quad(5,1)$$

Okay and this problem we're gonna be using implicit differentiation to find dy dx and we're going to evaluate it at the point to negative one. So my first step here is we're just gonna do implicit differentiation. So for this first thing we have dy the derivative of D Y is just gonna be too but then we have to put the dy dx And then we have five Since five is a constant number. The derivative of five is just gonna be zero. Then the derivative of negative X squared is negative two X. Then we move on to negative y cubed. So the derivative of negative y cubed is negative three, Y is squared dy dx. And then the derivative of zero is 0. So we want to get do Y dx completely by itself. So I'm gonna get rid of this negative two X. By adding it to both sides. Mhm. And then I'm going to factor out a dy dx. So I'm left with two three Y squared equals two X. So my last step to solve for Dubai dx would just be to divide by two minus three Y squared. Mhm. So those would cancel out and grd X equals two X over two minus three Y squared. So now we need to evaluate dy dx at the point to negative one. Mhm. Which means we just substituted to for an X. And the negative one for why? So this is really gonna equal to times two Divided by 2 -3 Times -1 Squared. So we just need to simplify this And we get dy DX at 2 -1 that's going to equal for over two minus negative one squared is just one. So two minus three Which is just negative one. Which means dy dx at this point would just be equal to negative four.

In this problem. We're doing any question and were asked to use implicit differentiation by very why just X. So we're gonna stay there with your old term to expect extent. So let's start from the first term we have or execute. It was for the second door getting portable. So we have two extremes. Well, spread plus explore eight times to wine time since Y is a function of X feels happy I d s plus three U S grade. Again wise function X will be happy by the ex again and that is a zero sense. Why is constant? So let's cripple terms with Levi the ex left inside. So we have some ideas. Oh, thanks to expert wine plus three Westbourne that is equal to then negative to x Oh, wife's Craig waas two squared their promise We don't see that very hopeful I respect eggs physical through negative talk to x Times y skirt was to experience the wild by two x squared plus three wire. Uh, sorry to ex Craig. Why? Plus three one square

You know this problem? We've been given the following curve and we would like to find dy dx by implicit differentiation. The first thing we do want to do here though is rewrite this and so it's right to this. Two X. To the one half. Well it's wider. The one have mm Is equal to three. And then now we can take out a really good from this. The derivative two extra 1/2 Is X. to the negative one half. Why do the one half is 1/2 Either the negative one half. Why prime In the derivative of 30? If we subtract tax and they have one half over. This gives us one half. Why do the name of 1/2? Why prime Is equal to 95? That's the one here. Right? Multiply both sides by two. It's going to get rid of that 1/2 And then divide by Y. to the negative one half. And this gives us why prime is negative two X. The native one half Over wide of the -1 house. Now those negative experiences mean flip where they are in the fraction. And so this tells us why prime does negative to route. Why overruled X.

Well that's probably been given four cosine x. Sign of why Is equal to one. And we would like to find the derivative of this. Use an implicit differentiation. Now in order to do this we will have to make use of both the chain rule and the product. Mm. Now the derivative Of four Cosine X. is negative. four cynics times the second there. So that's times the sine of wife plus the derivative of the sign of why is a co sign of why times Y. Prime. Mhm. Times are 1st of Times four co signing. And then the derivative of one on the other side is your I'm gonna take the negative for arsenic sign Y over to the other side. And so this tells me why Prime times for co Synnex chosen Y. is equal to four Synnex sign wine. And then all divided signed by four coastline, expose on wine. The legislation with the white prime there on the left. Yeah. Yeah on the right. The force cancel. Cinemax over Cosine of X. Is the tangent of X. And similarly the sign of Y. Over the coastline. Boy is the tangent line


Similar Solved Questions

5 answers
Problem 3_ Compute the determinant of AHint _ Use properties and 2 from the previous page to simplify the computation try to create two zeros in column/ row;32Problem 4 Compute the determinant of AHint: Start expanding via the last column.
Problem 3_ Compute the determinant of A Hint _ Use properties and 2 from the previous page to simplify the computation try to create two zeros in column/ row; 32 Problem 4 Compute the determinant of A Hint: Start expanding via the last column....
5 answers
QUESTION 1How much heat is consumed when 233.0 g carbon Is produced in the following reaction? 2 CH3OH () 2C (s) + 4H2lg) + Ozlg) 4HO = + 239.0 kJ 1159kJ b. 3,004 kJ 632.1 kJd.,4637 kJ2318 kJnflheQUESTION 2 anrl 312 57 0r Flof Hao Yohave
QUESTION 1 How much heat is consumed when 233.0 g carbon Is produced in the following reaction? 2 CH3OH () 2C (s) + 4H2lg) + Ozlg) 4HO = + 239.0 kJ 1159kJ b. 3,004 kJ 632.1 kJ d.,4637 kJ 2318 kJ nflhe QUESTION 2 anrl 312 57 0r Flof Hao Yohave...
5 answers
The complex anion [FeF6]3- has a very pale 4 color with very low absorptivity. Which * 2 statement is correct (abi 1)The metal is a d6 systemThe d-d transitions are Laporte- allowedIn d5, all d-d transitions are spin- allowedAll the above are correctAll the above are wrong
The complex anion [FeF6]3- has a very pale 4 color with very low absorptivity. Which * 2 statement is correct (abi 1) The metal is a d6 system The d-d transitions are Laporte- allowed In d5, all d-d transitions are spin- allowed All the above are correct All the above are wrong...
4 answers
1.28 Suppose Xt Bo + B1t, where Bo and B1 are constants_ Prove as px(h) - 1 for fixed h, where px(h) is the ACF (1.37).1 0_
1.28 Suppose Xt Bo + B1t, where Bo and B1 are constants_ Prove as px(h) - 1 for fixed h, where px(h) is the ACF (1.37). 1 0_...
5 answers
MisseDthis? Road Sechion 18.2 (Pucas 799) Walch KCV11.20WE 12 Use Ine Hendetgon ASs0 balch cuuntb l0 Eikcublie tne pIL 0} Gach solonPan Asoilt*n Init45 0 430 Mmn HCIO ardt 155 NnKCo Exposs Yoit anawet Uxing hro decimal places
MisseDthis? Road Sechion 18.2 (Pucas 799) Walch KCV11.20WE 12 Use Ine Hendetgon ASs0 balch cuuntb l0 Eikcublie tne pIL 0} Gach solon Pan A soilt*n Init45 0 430 Mmn HCIO ardt 155 NnKCo Exposs Yoit anawet Uxing hro decimal places...
5 answers
Question #nrbabi Lh-JIn incrrsc; Dc"0.RO urinalbud Jotauionn040 Vu; [ne Iru Grunit entmenin neduCndaiWaamlCuh
Question # nrbabi Lh-JIn incrrsc; Dc"0.RO urinalbud Jotauionn040 Vu; [ne Iru Grunit entmenin nedu Cndai Waaml Cuh...
1 answers
Solve each system. Use any method you wish. $$\left\{\begin{aligned}x^{2}-3 y^{2}+1 &=0 \\2 x^{2}-7 y^{2}+5 &=0\end{aligned}\right.$$
Solve each system. Use any method you wish. $$\left\{\begin{aligned}x^{2}-3 y^{2}+1 &=0 \\2 x^{2}-7 y^{2}+5 &=0\end{aligned}\right.$$...
5 answers
While doing an experiment in the lab, you are given an unknowncompound and asked to determine the molar mass of the compound fromthe following information. 185mg of the unknown was added to asolution with a volume of 130 mL at 55 degrees.The osmotic pressure is 345 torr. What is the molar mass of thecompound?a. 84 g/molb. 2.2e- 3 g/mol c. 13 g/mold. 0.017 g/mol
While doing an experiment in the lab, you are given an unknown compound and asked to determine the molar mass of the compound from the following information. 185mg of the unknown was added to a solution with a volume of 130 mL at 55 degrees. The osmotic pressure is 345 torr. What is the molar mass o...
5 answers
A4 = ~Si - 2j 3k and B = 4i 5j Jk and € Poduct A (B x €) is:2j 8k then the scalar triple49s @)-75175 -165C -55 Gi ;6}Di -187 H) 165
A4 = ~Si - 2j 3k and B = 4i 5j Jk and € Poduct A (B x €) is: 2j 8k then the scalar triple 49s @)-75 175 -165 C -55 Gi ;6} Di -187 H) 165...
5 answers
Unlike analog, digital communications is not band-limited.Select one:TrueFalse
Unlike analog, digital communications is not band-limited. Select one: True False...
5 answers
The net ionic equation for the reaction of NaOH withHClO4 is:
The net ionic equation for the reaction of NaOH with HClO4 is:...
5 answers
Solve for X if A=and B = -]in the equation(AX) = B
Solve for X if A= and B = -] in the equation (AX) = B...
2 answers
Patient C's Karyotypek Tr ) )i 41012Jee13141516171819202122XXIXY
Patient C's Karyotype k Tr ) )i 4 10 12 Jee 13 14 15 16 17 18 19 20 21 22 XXIXY...
5 answers
412NIC6.29 NIC2.40 NIC1.73 NIC
412NIC 6.29 NIC 2.40 NIC 1.73 NIC...
5 answers
Whlch of the following Is correct regarding the PH scale?Asubstance with a pH of 3 is 10 times as alkaline as a substance with a pH of 4.A substance with a pH of 3 Is 10 times as acidic as a substance with a pH of 4,A substance with a PH of 3 Is twice as alkaline as a substance with a pH of 4.A substance with a pH of 3 is twice as acidic as a substance with pH of 4.PREvIOUS
whlch of the following Is correct regarding the PH scale? Asubstance with a pH of 3 is 10 times as alkaline as a substance with a pH of 4. A substance with a pH of 3 Is 10 times as acidic as a substance with a pH of 4, A substance with a PH of 3 Is twice as alkaline as a substance with a pH of 4. A ...
5 answers
8 M 2 6 * 8 6 7 6 2 [ { 6 : 7 3 3 6 1 [E Lix 1 [ 2 7 Se W 1 0 2 7 2 8 2 E 1 6 1 U 8 1 1 7 { 3 L 1 5
8 M 2 6 * 8 6 7 6 2 [ { 6 : 7 3 3 6 1 [E Lix 1 [ 2 7 Se W 1 0 2 7 2 8 2 E 1 6 1 U 8 1 1 7 { 3 L 1 5...

-- 0.021862--