Thread: Logarithmic Differentiation Question

Hi,

I have been given the question differentiate the following equation logarithmically:



However, I don't yet understand factorising very well, and the answer given for this question has been factorised so I can't compare it with my own answer.

I took the following steps to work this out:

If someone can verify wherether this is correct or not, and tell me how if it's not, that would really useful.

Thanks.

Where did the 2 come from in your last line of working?

It's all correct except for line 7, where is a factor.

Ah I see, I tried factorising a little so the became

I realise this should be

and not



When you say is a factor on line 7, which is this?

You see why that isn't true though right? You can factor it however to

Ok I can see how that part is wrong now.

If I replaced step 7 with this:


Would it then be correct? I realise it can be factorised but, for now I'd rather work longhand and tackle factorising another day.

Yes

Brilliant thanks.