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Mathematics 18 Online
OpenStudy (thatonegirl_):

Find an equation for the tangent to the graph of f at the point P(2, f(2)) when ...

OpenStudy (thatonegirl_):

\[f(x)=\frac{ 5 }{ 1-3x }\]

OpenStudy (irishboy123):

\(f'(x) \) = ??

OpenStudy (thatonegirl_):

\[f'(x)=\frac{ 15 }{ 9x^2-6x+1 }\]

OpenStudy (irishboy123):

y

OpenStudy (thatonegirl_):

Is that right? I used the quotient rule lol

OpenStudy (thatonegirl_):

I didn't know how else to find it besides that

OpenStudy (irishboy123):

yes it is right so next bit

OpenStudy (irishboy123):

(2 , -1)

OpenStudy (thatonegirl_):

Okay cool. Then I plugged in 2 and got 3/5 so is that the slope?

OpenStudy (irishboy123):

think so

OpenStudy (thatonegirl_):

Okay so then would I just plug in f(2) which equals -1 for y then 3/5 for the slope, 2 for x and solve for b??

OpenStudy (irishboy123):

sure

OpenStudy (thatonegirl_):

Okay thank you so much you actually helped a ton xD

OpenStudy (irishboy123):

tu

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