How I finally understood the chain rule
If $y=f(g(x))$ then $\frac{dy}{dx}=f'(g(x))\,g'(x)$ — derivatives multiply along the chain. Think of it as units cancelling: $\frac{dy}{du}\cdot\frac{du}{dx}$.
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@deepa
Learning in public.
If $y=f(g(x))$ then $\frac{dy}{dx}=f'(g(x))\,g'(x)$ — derivatives multiply along the chain. Think of it as units cancelling: $\frac{dy}{du}\cdot\frac{du}{dx}$.