The expression $\frac{dy}{dx}(y)$ is asking for the derivative of $y$ with respect to $x$, where $y$ is implicitly a function of $x$.

However, if you're looking for a more specific interpretation or context, the expression might need clarification. Typically:

• $\frac{dy}{dx}$ represents the derivative of $y$ with respect to $x$, meaning how $y$ changes as $x$ changes.
• If $y$ is a function of $x$, say $y = f(x)$, then $\frac{dy}{dx}$ is the usual derivative notation.

For example, if $y = x^2$, then:

$\frac{dy}{dx} = \frac{d}{dx}(x^2) = 2x$

If $y$ were an implicit function of $x$, you'd typically solve for $\frac{dy}{dx}$ using implicit differentiation. If you're referring to something different, feel free to clarify.

Would you like to go over implicit differentiation or another example?

Related questions:

1. What is implicit differentiation and how is it used to find $\frac{dy}{dx}$?
2. How do you differentiate a function like $y = e^x$ with respect to $x$?
3. What is the chain rule and how does it help in differentiating composite functions?
4. Can you explain higher-order derivatives and how to compute them?
5. What is the meaning of the second derivative $\frac{d^2y}{dx^2}$?

Tip: Remember to apply the chain rule when differentiating functions inside other functions, especially when $y$ is expressed in terms of $x$.