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Differentiation question

question.PNGCan someone please tell me how to do part a of this question?? I've tried using d/dx lnf(x) = f'(x) / f(x) but I'm stuck with (1+u) / (u+sqrt(u^2-1))(sqrt(u^2-1) ...
Reply 1
Original post by blizzardliz
question.PNGCan someone please tell me how to do part a of this question?? I've tried using d/dx lnf(x) = f'(x) / f(x) but I'm stuck with (1+u) / (u+sqrt(u^2-1))(sqrt(u^2-1) ...


I used the chain rule to find f'(x) as well if that's maybe the wrong thing? if anyone wants me to attach a photo of my working bc i can't really type it out let me know!
Reply 2
Original post by blizzardliz
question.PNGCan someone please tell me how to do part a of this question?? I've tried using d/dx lnf(x) = f'(x) / f(x) but I'm stuck with (1+u) / (u+sqrt(u^2-1))(sqrt(u^2-1) ...

Looks close but for f'(x) = 1 + u/sqrt(u^2-1), so the 1 is not divided by sqrt(...)
Reply 3
Original post by mqb2766
Looks close but for f'(x) = 1 + u/sqrt(u^2-1), so the 1 is not divided by sqrt(...)


Ohhhh, that makes sense then thank you so much!

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