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amorfide
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Differentiate step by step I don't remember how to do it
(4lnx3)/(4lnx+3)
 2 years ago
 2 years ago
amorfide Group Title
Differentiate step by step I don't remember how to do it (4lnx3)/(4lnx+3)
 2 years ago
 2 years ago

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amorfide Group TitleBest ResponseYou've already chosen the best response.0
would i do (vduudv)/v²
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
@Hero can you help?
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Are you allowed to simplify your answer before you differentiate? :) Because it's currently written as a pair of conjugates, if we multiply them together it'll simplify very nicely.
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
no do it straight off use substitute v and u if needed
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
actually i do not think method matters xD
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Ok :) In that case, it looks like we have the product of two functions involving x. So we'll need to apply the product rule. The one that you posted above is the quotient rule :O we don't want to you that formula. \[\huge (uv)'=u'v+uv'\] This is the one we want :)
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
i am sure it is quotient,...
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Oh i didn't see the division symbol in there sorry, it was hidden for some reason lolol
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
i have the answer no method answer is 24/x(4lnx+3)²
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
I hate that tiny text :)
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
k you have the right formula then, just need help setting it up? :o
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
well i know which is v and u i dont know the differential of 4lnx 3
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Recall this:\[(\ln x)'=\frac{ 1 }{ x }\] So let's apply that to our u. \[\large u=4\ln x  3\]\[\large u'=4\frac{ 1 }{ x }  0\] The 4 is just a constant, so we can ignore that while we differentiate.
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
I feel dumb, thank you <3
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
well.. i get dw:1352060900067:dw
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
if i multiply by x/x will that give me the right answer?
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
so how would i find the gradient of (4lnx3)/(4lnx+3)
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
dw:1352061081956:dw Hmmm I'm confused how you get 24/x on the top :O
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Nevermind I see it now XD
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Me so slow today :3
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
i moved on, i need the gradient lol... how?
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
the gradient? :( mmm I'm in the US, is that what we call the slope i guess? :O
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
yeah slope
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Are you trying to form an equation for a particular line tangent to the function? :O We need a specific point along the function to start with if that's the case.
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
crosses the x axis y=(4lnx3)/(4lnx+3) get the exact value of the gradient
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
dw:1352061602252:dw Understand how we got that particular x value? It's a little bit tricky near the end there.
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
ahh thank you! forget to make it equal to zero my bad xD
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Understand how to find the value of the gradient from there? :) Plugging that point into the derivative function and such? :D
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
ahh that is just the denominator my bad (2/3)e^(3/4)
 2 years ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
that should be 3/4
 2 years ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
dw:1352062210018:dw Hmm yah that looks right, good job! :)
 2 years ago
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