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Mathematics
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need help on the attachment
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guess not. idea is find \[f(0), f'(x), f'(0)\] and then use point slope formula to find the equation for the line. i will write it out in any case
\[f(x)=\frac{1}{\sqrt{5+x}}\] \[f(0)=\frac{1}{\sqrt{5}}\] \[f'(x)=-\frac{1}{2(x+5)^{\frac{3}{2}}}\] \[f'(x)=-\frac{1}{5^{\frac{3}{2}}}=-\frac{1}{5\sqrt{5}}\]\]
so by point-slope formula your line is \[y=-\frac{1}{5\sqrt{5}}x+\frac{1}{\sqrt{5}}\]
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ok a mistake i forget the 2 in the denominator of the derivative it is \[y=-\frac{1}{10\sqrt{5}}x+\frac{1}{\sqrt{5}}\]
looks like choice 3
http://openstudy.com/users/ta123#/users/ta123/updates/4e94f0460b8b7d552aec4574
hah i forgot the 2 as well! lololol
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