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

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

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

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

amorfide Group TitleBest ResponseYou've already chosen the best response.0
actually i do not think method matters xD
 one year 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 :)
 one year ago

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

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

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

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

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

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

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

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

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

amorfide Group TitleBest ResponseYou've already chosen the best response.0
36e^3/4 ?
 one year 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)
 one year ago

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

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