1. The problem is to find the derivative of the function $u v$ where $u$ and $v$ are functions of $x$. 2. We use the product rule for differentiation, which states: $$\frac{d}{dx}(uv) = u \frac{dv}{dx} + v \frac{du}{dx}$$ 3. This means the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first. 4. So, if you know $u$, $v$, and their derivatives $\frac{du}{dx}$ and $\frac{dv}{dx}$, you can plug them into the formula to find the derivative of $uv$. 5. This rule is very useful in calculus when dealing with products of functions.