The structure of the product formed will have two chiral centers due to anti-Markovnikov addition of HBr in the presence of peroxide:
With two chiral centers, the number of stereoisomers is:
\[ 2^{\text{chiral centers}} = 2^2 = 4 \]
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \[ (\sin x \cos y)(f(2x + 2y) - f(2x - 2y)) = (\cos x \sin y)(f(2x + 2y) + f(2x - 2y)), \] for all \( x, y \in \mathbb{R}. \)
If \( f'(0) = \frac{1}{2} \), then the value of \( 24f''\left( \frac{5\pi}{3} \right) \) is: