1. The problem asks whether the Product Rule states that the derivative of $u \cdot v$ is $u' \cdot v'$. 2. The Product Rule in calculus actually states that the derivative of the product of two functions $u$ and $v$ is given by: $$\frac{d}{dx}(u \cdot v) = u' \cdot v + u \cdot v'$$ where $u'$ is the derivative of $u$ and $v'$ is the derivative of $v$. 3. The statement given in the question says the derivative is $u' \cdot v'$, which is incorrect because it omits the terms $u' \cdot v$ and $u \cdot v'$. 4. Therefore, the correct answer is **False**. This is an important rule in calculus for differentiating products of functions.