a point moves around the circle x^2+y^2=9. When the point is at (-sqrt3, sqrt6), the x coordinate is increasing at the rate of 2
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Assuming the function is 
, and not 
which would be its own Maclaurin polynomial right away.
Recall the geometric power series,
where
. Replace 
and we have
and so
We want the 4th degree polynomial, so
Recall the geometric power series,
where
and so
We want the 4th degree polynomial, so