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

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

Jibrilpresbury Group TitleBest ResponseYou've already chosen the best response.0
idk
 10 months ago

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

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
about zero i hope first term is \(f(0)=1\)
 10 months 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 \[f'(0)x=\frac{3}{2}x\]
 10 months ago

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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