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Point)If x cos(4y)definos Implicitly as differentlable function of x thenNote: Your answer may contain both and variables...

Question

Point)If x cos(4y)definos Implicitly as differentlable function of x thenNote: Your answer may contain both and variables

point) If x cos(4y) definos Implicitly as differentlable function of x then Note: Your answer may contain both and variables



Answers

For an equation in $x$ and $y,$ if substitution of $a$ for $x$ and $b$ for $y$ satisfics the equation, then the point $(a, b)$ is a _____.

So this is kind of a continuation of problem number four eso in number four. We actually find that partial derivative with respect to X is this And what perspective? Why is that so? I won't go over that again. Um, but if you do want to go watch, I would just go back earlier to the chapter and watch that video on how we got that. But just in case you've already seen that we don't need Thio go through this again because now we can just plug these values in. Um so let me get rid of these a rose and scoop this down a bit. So first, we're gonna have f sub x of negative 12 servers gonna plug in X and y eso This would be four times negative one and then two squared, which is four all over Eso it just be one plus four squared. And then the new mayor, that would give us negative 16 over. So five squared. So 25 so are partial derivative with respect to X at the point, negative 12 is going to be negative. 16 over 25 and then for us to find our partial at this point or why? Same thing. Just plug in the points. So b f Y r f supply at negative 12 So we're gonna have negative, or and then we'll negative one squares. That's just one. And then, wise be times too all over. Well, actually, I forgot to square this, Um, so then we plug those in, so gonna be one plus four all squared. So that would give us negative 8/25. So that that is our personal with respect. Why? At negative two. So again, if you haven't seen number four or you haven't gone through number four yet, I would go back and watch that video so you can see how we arrived at thes partial derivatives here. Um, and then you could come back, and at that point, it's just lugging the values. It

Hello Friends and we have to find that. Do we have a deal? So for the given expression and it is given that in the cushion X squared it costs too X Men is one of 1 express voi okay so we're a little differentiation visit destructor X. So do you have 20 years of access? Good will be the upon dx of experience where you want X plus. Why? So this will because it works and differentiation of this will be express way into defenses and off narrator will be one minus. Do you have on the X minus of X minus 20 one plus develop one dx upon expressway Holy Square. Okay so this will be considered to extend to express Y. Holy Square explains why minus of explains why divide over dx minus of X. Man is white minus of X. one his way Do I wear dx? Okay so there will be two X. And two X plus Y. Holy Square. It goes to X plus Y minus of X plus oh boy plus levi upon the eggs. Yeah minus of Liberty X. So it will be explosive. Why Plus X. One is white. Wait X plus Y squared equals two to buy minus off two eggs develop on the X. Okay so from here we can I did two effects explains why Holy square minus of to Y upon to actually cost too develop on the X. So answer developer d. x equals two. It is minus or two weeks. Okay so this will be a cost to two X. Mhm. Sorry this will be close to two by minus two x into x plus y. Holy square upon two weeks. So this is the answer. I hope you understood. Thank you.

The question it is given f off X comma y is it calls Toe y Cube minus three y excess square minus three. Wise square minus three exes square Bless one, and we have to find all the points on F at f X equals two f y equals to zero simultaneously. Now moving towards the solution for the given f R effects would be Quito. Tell Beidle X off y cubed minus three y X squared minus three Y square minus three X square plus one, which will be equal to zero minus six y X minus six X minus zero plus zero that is a close to minus six. Access common one place Why and our F y would be dealt by del y off y Q minus three Y axis where minus three. Access where. Minus three y squared plus one, which will be called toe three. Wise square minus three Xs Square minus zero minus six y plus zero, which will be called tau minus three off excess square minus y squared plus two y And now solving FX equals toe F y equals to zero fought X comma Life from one Rx would be calls to zero or y equals two minus one. If X is equals to zero from two, it will be minus 30 minus y squared plus two y equals to zero. That is why polls to zero R two moving further. And so far, now we have zero comma. Zero on zero Bama too. And if why is it close to minus one from two? It will be called Tau minus three excess where minus off. Minus one whole square, plus two off minus. When it calls to zero, that is acceptable plus minus off route three. So it will be called Tau minus through three minus one. Andre, Route three minus. What? And this will be the points. And this is the solution for the given question. Thank you.

Given function X comma by bulls X squared minus y squared divided by X minus Y X is not a portable and if it says people the way, we have functioned to its So what is the limit? Oh, function by is able to eggs off X squared minus guys were X minus, but so this becomes zero by zero, which is equal to zero. But the soul will limit advisable to x I get X minus Buy into express Why divided by X minus way considerable to express why it was Express X is going to two ways. Do X Is it continuous function I'm given in fix Come my way that is X squared minus pi squared Divided backs minus by it is equal to X plus y is the going to news function You go. This is a only normal So therefore my offense come away is continuous for X Come on by belonging to the real numbers


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