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Mathematics 16 Online
OpenStudy (anonymous):

need help on the attachment

OpenStudy (anonymous):

OpenStudy (anonymous):

you still here?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

\[f(x)=\frac{1}{\sqrt{5+x}}\] \[f(0)=\frac{1}{\sqrt{5}}\] \[f'(x)=-\frac{1}{2(x+5)^{\frac{3}{2}}}\] \[f'(x)=-\frac{1}{5^{\frac{3}{2}}}=-\frac{1}{5\sqrt{5}}\]\]

OpenStudy (anonymous):

so by point-slope formula your line is \[y=-\frac{1}{5\sqrt{5}}x+\frac{1}{\sqrt{5}}\]

OpenStudy (anonymous):

ok a mistake i forget the 2 in the denominator of the derivative it is \[y=-\frac{1}{10\sqrt{5}}x+\frac{1}{\sqrt{5}}\]

OpenStudy (anonymous):

looks like choice 3

OpenStudy (anonymous):

hah i forgot the 2 as well! lololol

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