The derivative of \( e^y \) with respect to \( y \) is:

\[
\frac{d}{dy} e^y = e^y
\]

The function \( e^y \) differentiates to itself, as the exponential function is unique in having this property. 

Would you like further details or have any specific questions? 

Here are a few related questions that expand on this concept:

1. What is the derivative of \( e^{2y} \) with respect to \( y \)?
2. How does the chain rule apply to derivatives involving \( e^y \)?
3. What is the second derivative of \( e^y \) with respect to \( y \)?
4. How does \( e^y \) behave as \( y \to \infty \)?
5. What are the applications of \( e^y \) in real-world scenarios?

**Tip:** The exponential function \( e^x \) is one of the few functions that equals its own derivative, making it especially useful in differential equations.

Find the derivative of e^y with respect to y. This solution explores differentiation of exponential functions, showing why e^y differentiates to itself. Suitable for high school calculus students in Grades 11-12.

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