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LeoMessi
Group Title
How do I use the quotient rule on this function:
(4x − 2) / (x2 + 1) ?
 3 years ago
 3 years ago
LeoMessi Group Title
How do I use the quotient rule on this function: (4x − 2) / (x2 + 1) ?
 3 years ago
 3 years ago

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LeoMessi Group TitleBest ResponseYou've already chosen the best response.0
\[ \frac{4x2}{x^{2}+1} \]
 3 years ago

fauxshaux Group TitleBest ResponseYou've already chosen the best response.1
\[f(x) = \frac{g(x)}{h(x)} => \frac{h'(x) * g(x)  g'(x)*h(x)}{[h(x)]^2} \]
 3 years ago

fauxshaux Group TitleBest ResponseYou've already chosen the best response.1
\[f(x) = \frac{Top Func.}{Bottom Func} => \frac{Deriv. of Bottom Func * Top func.  Deriv. of Top func. * Bottom Func}{[Bottom Func]^2} \]
 3 years ago

fauxshaux Group TitleBest ResponseYou've already chosen the best response.1
so here: g(x) = 4x2, h(x) = x^2 + 1
 3 years ago

LeoMessi Group TitleBest ResponseYou've already chosen the best response.0
OH, cool, I'll give it a shot: g(x) = (4x2), h(x) = x^2+1. g'(x) = 4, h'(x) = 2x
 3 years ago

LeoMessi Group TitleBest ResponseYou've already chosen the best response.0
so: \[\frac{2x * (4x2)  4*(x^2+1)}{[(x^2+1)]^2} \]
 3 years ago

fauxshaux Group TitleBest ResponseYou've already chosen the best response.1
you can try to simplify here too
 3 years ago

Sahsanud Group TitleBest ResponseYou've already chosen the best response.0
d/dx= ((2x)(4x2)(4)(x^2+1))/ (x^2+1)^2 =4x^24x4/ (x^2+1)^2
 3 years ago

ndcuong1980 Group TitleBest ResponseYou've already chosen the best response.0
Go here http://www.wolframalpha.com/input/?i=integrate+%284x%E2%88%922%29%2F%28x^2%2B1%29 and click "show steps"
 3 years ago

rosswante Group TitleBest ResponseYou've already chosen the best response.0
4/(x^2+1)(2*(4*x1))*x/(x^2+1)^2
 3 years ago
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