Differentiation of composite function

Calculus Level pending

Let \[f(x)=2\sin \ x+\cos \ x , p(x)=(h\circ g\circ f )(x),\] where \(h(x)\) and \(g(x)\) are differentiable functions. If \(p'(0)=12,\) what is the value of \(h'(g(1))g'(1)?\)

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