# Differentiate how? Part 3

**Calculus**Level 2

\[ \huge y=e^{x + e^{x + e^{x + e^{x + \cdots }}}} \]

Let \(y\) denote the infinite power tower function as described above. Determine the value of \( \dfrac{dy}{dx} \) in terms of \(y\).

\[ \huge y=e^{x + e^{x + e^{x + e^{x + \cdots }}}} \]

Let \(y\) denote the infinite power tower function as described above. Determine the value of \( \dfrac{dy}{dx} \) in terms of \(y\).

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