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What are the points on f(x)=x^2-2x, where the slope of tangentline m = 2....

Question

What are the points on f(x)=x^2-2x, where the slope of tangentline m = 2.

What are the points on f(x)=x^2-2x, where the slope of tangent line m = 2.



Answers

A line with slope $m$ passes through the origin and is tangent to $y=\ln (2 x) .$ What is the value of $m ?$

Hello, friends. We have to find out the slope off the 10 game on this graph at 0.1 comma one for this first we can we have to solve this function so we can I did help keep our four plus working far four plus dies off excess square by square that is close to full off excess square. By and further we can simplify it. Exit bar four plus Why give our four? That is a cost. Oh, excess Quick in the bracket Fooled by minus toe Why is quiet for finding out the slow? We have toe delegate this function with respect to X so we can differentiate it from the both side with the respect with respect to X so we can write it Full X cube plus four by few Divide by the X That is a questo price off x four y minus two y squared Here we can we apply the gentle So the difference is an off axis school is two x and multiplied waddles second function plus the defense is in off. The second function is food divide by D X, minus ca 45 divided DX multiplied by Sorry, mighty close back in the multiplied by now. First function so further we can simplify it and we can write it. The derivative divide DX calls to twice off X food white minus two Y squared minus off for excuse upon for Vike U minus X square that is multiplied by four miners for right. And we have to find out the slope at the 0.1 come off one So we can calculated the derivative off this function. Add one comma one So it will be the slope of the Daniel at one comma one so we can replace the X by one and also by by one so it can be righted like this. Four minus two, minus four multiplied by one upon four, multiplied by one minus one four minus four So it can be righted four minus four upon four Mana zero. So it will be closed toe zero So we can see that the slow off Kenya and one comma one at a given function is equals tau zero. So I hope I answered your question. Thank you.

Permit questions Extent coaches Jewell bless carnality by equal attuned to minus 40 from the first equation confronted the X over DT. Then we get Nico June the one over to skirt the similarly they do. You are already t unique Ojeda Manus for And from here we can find a slum. You go to the d. Why are the X are congenitally we do? I am Aditi over the eggs already t here They would get a good two minutes for over one other juice with a day. Then we get a coach in a minus. I discovered that the and we went to him. Islamic coaches zero No, for it is a means. Don't do you eat Coggiola zero here?

Okay, so you run, are y value and are so we want to find our equation of our tenant line. So we also need to find out why. Value. So let's find that it's this tensions in verse of X, which is negative. Two. What is that equal to that? Same. So that gives us, um, I'll just leave it like so for why, since it's just a decimal value. Okay, so now let's find our derivative. Defined are slow. Judges in verse is 1/1 plus x squared something in our X volume. It's 1/1 plus for which is five. Okay, so using our point slope form, we get wide by this tensions in verse. Negative two is you look to em, which is 1/5 x minus negatives is that it's plus two. Okay, so we get that our attention line is equal to 1/5 plus 2/5 and in plus attendants in verse of making too

Given the curb Why we want to find the equation of the tangent line of this curve that has a slope of to this is the same as finding where the derivative equals two. So we'll start by finding the derivative of why that's going to you one plus 1/2 times the square root of X. And we want to find where they slope is to or where the derivative is true. So what? It will set it equal to that. And so for X. And when we solve for X, we get that it equals 1/4. So now we have a slope because we know this looked to be to and we have an X value. But in order to write an equation in why equals X plus B form, we also need the y intercept or be And we're gonna finds that by plugging in a coordinate points So we haven't xlu and now we need a why. So we'll plug in X into the original curve to get our y value. Do we get why equals 1/4 plus the square root of 1/4 which becomes 1/4 plus 1/2 and this is 3/4. Now we have a coordinate point 1/4 3/4 and we know this coordinate point is on this tangent line and that our slope or M, is one equal tube, so you can plug it all in and get 3/4 equals two times 1/4 plus B and get be equal to 1/4. And now we can write our equation. We didn't slip to me, too. And why are deceptively 1/4?


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