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2x2 Use the Quotient Rule to find g' (1) given that g(x) = Ax+39' (1) =...

Question

2x2 Use the Quotient Rule to find g' (1) given that g(x) = Ax+39' (1) =

2x2 Use the Quotient Rule to find g' (1) given that g(x) = Ax+3 9' (1) =



Answers

Use the Quotient Rule to find $g^{\prime}(1)$ given that $g(x)=\frac{x^{2}}{x+1}$

In the given question, it is being asked to find Derivative of F. x equals to nine miners next by three. So to finally deliver to there are caramelized LTD tends to zero valuable function. It explicit minus value of functional attacks divided by H. Okay, now I am providing the input doctor here, we have to provide the value of explosives. So the value should be nine minus Explicit divided by three minus. We have to go to evaluate the effects That is nine -X. Y. three divided by it. You can clearly see that earlier nine goods cancel out. And If you take three and the LC. M. You take three years LC. M. Then you should get minus x minus H less X. You're minus explicit minus X plus X. Window guards cancelled after that he were to limit, it tends to europe Minor set divided by three. It's your pets also goes cancel out and your final derivative comes out And its value is -1x3. Okay if you enjoy the video and then please don't forget to like it. Thank you.

And problem 44. We have to find a difference. Kosher of the function G x z a. What creates an old bag difference portion as G express H minus g. It's over rich. So the G express edge would be race expire. Express fetch. Jax is already known to us over edge since can be read it another stick to what Trias comma on just becomes one over X plus Edge and edge also comes in the dominator. So this becomes minus one. What x? That's traitors and providers has become cheap Heurtaux th or ex experts edge So this becomes X minus. Express it. So this becomes store th We're here. We have X minus X minus h hold X explicit. So peace to gets canceled and we're left with two or three etch campuses minus edge over X express It I just cancelled. And finally Reliford Ministry or three X Express, which so this is the

Long 47 we have to find a difference. Coefficient of the function G X is equal to three over excess for so we know that the defensive coefficient is equal to G off experts H minus gx Woolridge So for GF Express HPD based X by express its express actual square minus GX which is to you What excess square? What's let's take this camera. The nasty s common one over X plus a h hold square minus one over x a square. And here we have edge. It's traitors. Simplify the brackets and square certain date Elysium excess. Where express h we'll square X squared minus express much boyschoir. So this becomes three over edge on development of you have excess square X plus a h oles. So this becomes X squared minus. This is X Square Plus At square was two chicks. We have just opened up the brackets on when we think the minus a no say's this gets cancer and we're left with minuses already, Officer, we're looking at stake edge common. From here on these two, we can take 11 h comma. So we're left. But eh just taken common on. Do we have edge plus two x over here over Etch excess Square Explosive H. Holmes of this X This edge get scans them on the final answer, which were left eyes Ministry times two x plus a h over. It's a Square express, etch. So this is the final answer.

Okay, so let's use the question. We want to find the following derivative. So it's labour falling as you in this as V. So we have G prime of X. That's equal to you. Prime. So that's two X minus four times B minus V prime, which is two x times you all over B squared. Okay, so now it's expand our numerator. So we have two extra part three plus six x minus four X squared minus 12 when it's two extra battery plus eight x squared and then minus four x. This is all over are denominated. Okay? No, it's combined. Tim's. So we have these to cancel. We have our X Square. So that's eight minus four sets for extra part two. Our exes. That six minus four. So we have plus two X and then minus 12 all over extra about two plus three to the power of to


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