Differentiate how? Part 3

Calculus Level 2

y=ex+ex+ex+ex+⋯ \huge y=e^{x + e^{x + e^{x + e^{x + \cdots }}}}

Let yy denote the infinite power tower function as described above.

Determine the value of dydx \frac{dy}{dx} in terms of yy.

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Dinesh Nath Goswami by Dinesh Nath Goswami
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