Question
If $f(x) = \frac{g(x) + g(-x)}{2} + \frac{2}{h(x) + h(-x)}$, where $g$ and $h$ are differentiable functions, then find $f'(0)$.
If $f(x) = \frac{g(x) + g(-x)}{2} + \frac{2}{h(x) + h(-x)}$, where $g$ and $h$ are differentiable functions, then find $f'(0)$.