# Review Question

Solve the following question by using chain rule.

y=((x-3)/(x+3))^4

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### 7 Responses to Review Question

1. y’=4 $\left( \frac{x-3}{x+3} \right)^3$ ( $left( \frac{6}{x+3} \right)^2$

• Masaab Sohaib says:

$\frac{\left(\left(x+3\right)^4\cdot \left(\frac{d}{dx}\left(x-3\right)^4\right)-\left(\frac{d}{dx}\left(x+3\right)^4\right)\cdot \left(x-3\right)^4\right)}{\left(\left(x+3\right)^4\right)^2}$

$\downarrow$

$\frac{\left(\left(x+3\right)^4\cdot \left(4\left(x-3\right)^3\right)-\left(4\left(x+3\right)^3\right)\cdot \left(x-3\right)^4\right)}{\left(x+3\right)^8}$

• Maloney says:

I think you also have the right answer, and I see that you did use the chain rule, though it isn’t apparent at first since you didn’t actually put either g’ in (1 in both of your applications of the chain rule.)

• Maloney says:

I think you’ve got the answer. The part that didn’t parse is 6/(x+3)^2, right?

• Masaab Sohaib says:

Well, it didn’t complete it through the end, I just applied the formula and I got that big equation. I’m not sure if we really have to solve it through the end on the test(which is all algebra).

• Nicholas Yu says:

a derivative is a derivative… if the question just ask u to find the derivative, u can basically give it in any form even if its not simplified as long as the answers are right and equal

2. Kate Poirier says:

Hey guys, I haven’t checked any of your answers, but I’m assuming you’re on the right track! If any portion of LaTeX doesn’t parse, you can always mouseover the “Formula does not parse” text to see what code didn’t compile.

Abu, your question is a nice straighforward one, but I have one comment about the wording. “Solve the following question…” doesn’t really ask what I think you mean to ask. Since you’ve included “..using the chain rule” I have to assume that what you mean is “Differentiate the function,” or just “Differentiate,” or “Find the derivative.”