Formaldehyde (HCHO) is the most reactive towards nucleophilic addition reactions because:
• It has no alkyl groups attached to the carbonyl carbon, leading to the lowest steric hindrance at the carbonyl carbon.
• The partial positive charge on the carbonyl carbon is highest due to the absence of electron-donating groups (alkyl groups), making it highly electrophilic.
Thus, HCHO is the most reactive aldehyde for nucleophilic addition reactions.
If \[ \frac{dy}{dx} + 2y \sec^2 x = 2 \sec^2 x + 3 \tan x \cdot \sec^2 x \] and
and \( f(0) = \frac{5}{4} \), then the value of \[ 12 \left( y \left( \frac{\pi}{4} \right) - \frac{1}{e^2} \right) \] equals to: