Answer
$\frac{d}{dx} f(g(h(x)))= f'(g(h(x)) * g'(h(x))* h'(x) $
Work Step by Step
We apply the chain rule repeatedly:
$\frac{d}{dx} f(g(h(x))) = f'(g(h(x)) * (\frac{d}{dx}[g(h(x))])= f'(g(h(x)) * (g'(h(x)) * (\frac{d}{dx}[h(x)]) = f'(g(h(x)) * (g'(h(x)) * (h'(x)) = f'(g(h(x)) * g'(h(x))* h'(x) $
