04 - Chain Rule

Chain Rule

Let

$$F(t)=f(u(t),v(t))$$

where $u,v$ are differentiable and $f$ is continuously differentiable in $x,y$

Then

$$\frac{\partial F}{\partial t}=\frac{\partial f}{\partial u}\frac{\partial u}{\partial t}+\frac{\partial f}{\partial v}\frac{\partial v}{\partial t}$$

Non Examinable - page 25 :)