chain rule

Chain rule helps us differentiate function compositions like $f(g(x))$.

$(f\circ g{)}^{\prime }=(f^{\prime }\circ g)\cdot g^{\prime }$

$\frac{d}{dx}f(g(x))=f^{\prime }(g(x))\cdot g^{\prime }(x)$

$\frac{d}{dx}u\circ v=\frac{du}{dv}\frac{dv}{dx}$