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emcrazy14
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Urgent help needed:
Expand the following up to the term in x^3:
 one year ago
 one year ago
emcrazy14 Group Title
Urgent help needed: Expand the following up to the term in x^3:
 one year ago
 one year ago

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emcrazy14 Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ 1+x }{ \sqrt{1x} }\]
 one year ago

Jibrilpresbury Group TitleBest ResponseYou've already chosen the best response.0
idk
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
expand in a power series i take it
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
about zero i hope first term is \(f(0)=1\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
first derivative is \[f'(x)=\frac{3x}{2\sqrt{1x}^3}\] so second term is \[f'(0)x=\frac{3}{2}x\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
yikes, now we need the derivative of that beast
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
do i have to do that too?
 one year ago

emcrazy14 Group TitleBest ResponseYou've already chosen the best response.0
Yes, please?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
lets cheat
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
looks like it is \[f''(x)=\frac{7x}{4\sqrt{1x}^5}\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
making the next term \[\frac{f''(0)}{2}x^2=\frac{7}{8}x^2\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
one more?
 one year ago

emcrazy14 Group TitleBest ResponseYou've already chosen the best response.0
So I find the derivative of that too?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
\[f'^{(3)}(x)=\frac{333x}{8\sqrt{1x}^7}\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
i think
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
if so then \(\frac{f^{(3)}(0)}{3!}x^3=\frac{33}{16}x^3\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
hmm let me check if this is right
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
no messed up \(3!=6\) doh
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
third term is \(\frac{11}{16}x^3\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
k lets check the whole dam thing and see if it is right
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
http://www.wolframalpha.com/input/?i=%281%2Bx%29%2Fsqrt%281x%29 yup !!
 one year ago

emcrazy14 Group TitleBest ResponseYou've already chosen the best response.0
Okay, thank you so much! :)
 one year ago
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