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# Help with differentiation watch

1. I would really appreciate it if someone could guide me through differentiating the following function (sqrtx+1)^2/x with the aid of the chain rule !THANK YOU SO MUCH YOU KIND PERSON!
2. (Original post by irenee)
I would really appreciate it if someone could guide me through differentiating the following function (sqrtx+1)^2/x with the aid of the chain rule !THANK YOU SO MUCH YOU KIND PERSON!

3. (Original post by DylanJ42)

The second could be done if you take logs of both sides and differentiate implicitly. First one is just normal quotient rule, although you could also use product rule.
4. (Original post by B_9710)
The second could be done if you take logs of both sides and differentiate implicitly. First one is just normal quotient rule, although you could also use product rule.
oh i know, but explaining it step by step and latexing it all would be not so fun
5. (Original post by irenee)
I would really appreciate it if someone could guide me through differentiating the following function (sqrtx+1)^2/x with the aid of the chain rule !THANK YOU SO MUCH YOU KIND PERSON!
(Original post by DylanJ42)

if its (1), as im assuming it will be;

Using product rule; (and call the above line )

Now taking and working out first (as the rest is fairly standard);

Let's assign a few variables first

So going back to;

and subbing in the result we obtained above we get;

the RHS of the top line multiples out and we get;

which finally leaves us with;

Spoiler:
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in hindsight i wish it was (2)

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