Answer
$\frac{dy}{dx} = \frac{dy}{du} * \frac{du}{dv} * \frac{dv}{dw} * \frac{dw}{dx}$
Work Step by Step
We begin by taking the derivatives of all the functions and find:
$f_1'(u) = \frac{dy}{du}$
$f_2'(v) = \frac{du}{dv}$
$f_3'(w) = \frac{dv}{dw}$
$f_4'(x) = \frac{dw}{dx}$
The chain rule states that, generally:
$\frac{dy}{dx} = \frac{dy}{du} * \frac{u}{x}$.
We apply this iteratively to find:
$\frac{dy}{dx} = \frac{dy}{du} * \frac{du}{dv} * \frac{dv}{dw} * \frac{dw}{dx}$
