The image appears to be upside down, and the handwriting is a bit faint. After rotating and enhancing the text, here’s the transcription I see:

1. $u$ and $v$ are functions: Likely an instruction that functions $u$ and $v$ are involved in some computation.
2. Using the product rule: This suggests that the problem involves differentiation where the product rule is applicable.
3. $u' \cdot v + u \cdot v'$: This appears to be the formula for the derivative of the product $u \cdot v$ using the product rule, which states that the derivative of $u \cdot v$ is given by $u' \cdot v + u \cdot v'$.
4. Example given as $\frac{d}{dx} (5x) = 5 \cdot x' + x \cdot 5'$.

Please confirm if you need further steps worked out or if there's more specific assistance you require with this problem.

Would you like a detailed explanation on using the product rule?

Related Questions

1. How do you find $u'$ and $v'$ when $u$ and $v$ are given explicitly?
2. What is the chain rule, and how does it differ from the product rule?
3. How do you apply the product rule to higher-order derivatives?
4. Can the product rule be extended to more than two functions?
5. How can the product rule be used in integration?

Tip

When using the product rule, remember that the order of differentiation matters: $u'v + uv'$ is specific to each function's role in the product.