Problem:
Differentiate the following function:
$\tan \left(e^{9 x-\frac{3}{2}}\right)-\cos ^{-1}\left(\frac{15 x}{2}-2\right)$
Answer:
$\frac{5 \sqrt{3}}{\sqrt{-75 x^2+40 x-4}}+9 e^{9 x-\frac{3}{2}} \sec ^2\left(e^{9 x-\frac{3}{2}}\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/derivatives/34497.txt'}