The derivative of \( y \) with respect to \( x \), \( \frac{dy}{dx} \), depends on how \( y \) is defined as a function of \( x \). 

1. If \( y \) is a constant, then \( \frac{dy}{dx} = 0 \).
2. If \( y = f(x) \), then \( \frac{dy}{dx} = f'(x) \), where \( f'(x) \) is the derivative of \( f(x) \) with respect to \( x \).

Could you specify the form of \( y \)? Is it a function of \( x \) or a constant?

Would you like to see more details on how derivatives are calculated or specific examples?

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### Related Questions:
1. What is the derivative of \( y = x^2 \) with respect to \( x \)?
2. How do you calculate \( \frac{dy}{dx} \) when \( y = \sin(x) \)?
3. What happens if \( y \) is a composite function of \( x \)?
4. How do you differentiate implicit functions involving \( y \)?
5. What is the derivative of an exponential function like \( y = e^x \)?

**Tip:** When differentiating, always check if the function needs the chain rule for composite functions!

Explore how to calculate the derivative of y with respect to x. This guide explains key concepts such as the power rule, chain rule, and how derivatives are calculated for both constant and variable functions. Suitable for high school calculus students in Grades 11-12.

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