Problem:
Find the first order series of the inverse of the following function around 1:
$\frac{512}{125} x^3 \cos (x)$
Answer:
$\frac{125 \left(x-\frac{4096 \cos (2)}{125}\right)}{512 (12 \cos (2)-8 \sin (2))}+2$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_inverse/29275.txt'}