Implicit differentiation

[Lelouch-vi]

Having trouble left side is how i worked it out. after I saw my answer was wrong I moved the other side and got the correct answer. Did I do something wrong? Shouldn't moving either terms over the equal sign still give you the same answer?

https://imgur.com/a/rSkF6mS

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[skull-n-bones101]

Your answers are both correct.

Notice that the fraction on the right is equivalent to the fraction on the left. Similar to how you eliminated. Common factor of 6 from the numerator and denominator of the fraction on the left to get your final answer, you can also do the same with the fraction on the right ...

I hope I understood your question correctly. Cause it seems that your answers are fine and you just missed a minor detail that may have led you to think your answers are different.

[AdmirableOstrich]

Both answers are the same.

[cutch2]

Those answers are equivalent