Okay, so we're looking to approximate this quantity two point nine three squared. Write the cereal quite nine for squared well to the one third. So if we let c b the function x squared plus y squared the one third and we look around X equals it's oven excess three. Why is one we see that he is to its nine minus one made to the wonders to And they were just changing x and y by X by negative points You're seven and why bye Negative points your six. So if we look at easy which will be our approximate change in the function and then we'LL just add that to to to give us our approximation Easy is well, we got to take some partial derivatives. First of persons the perfect thanks is he Ah so two x over three x squared plus y squared to the two thirds and then partials He'd Marshall, Why is the same things? That too why aren't up good three x squared plus y squared two thirds Then we need to evaluate it three and one. So this is going to be two squared when this is going to be two squared for on exes. Three. So we have value. I'm in here. Get six six over three cities to force of one half Looks like and then produce. Edie, Why evaluated it? Three and one. We get two times. One over three before. So that looks like one over six. Okay, civilization T partial, introspective X that one half times negative. Zero point seven plus partial with respect to lie on six times the change in Why negative point zero six. And then what did we get? We get it. Well, this is Ah, negative. Zero point three five. And then divide this by six. That's the negative point zero one. That should be negative. Zero hoops onesie. We must up here somewhere. Oh, I see. So this is the minus because of the minus. There, there we go. Minus. So we take the derivative with respect of why we get minus minus. And then So the only evaluated weaken Negative one six, actually minus. So I should add that so, you know, we get negative. Zero point point two five. Okay, that's too easy. Ah, oops. In another mistake here, this is zero seven. So this is zero three five and then when we advocate negatives zero, two, five. And so the approximate value we get here. So this is approximately two minus your points thirty five, which is one point seven five. So that's our approximation. So for use a calculator, the actual value is one point nine seven for AIDS. And if we take this difference just to Seo Qatar approximation is and then subtract one point nine seven five we get zero point zero zero zero two.