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

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

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Are 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.

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

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

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Ok :) 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 :)

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

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

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

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

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

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

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Recall 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.

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

amorfide
 3 years ago
Best ResponseYou've already chosen the best response.0well.. i get dw:1352060900067:dw

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

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

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

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Nevermind I see it now XD

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

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

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Are 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.

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

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

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

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

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

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