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The derivative of y = e^(2x) is 2e^(2x).

To differentiate y = e^(2x), we use the chain rule. Let u = 2x, then y = e^u. The derivative of e^u with respect to x is given by:

dy/dx = dy/du * du/dx

Since e^u is the outer function and u = 2x is the inner function, we have:

dy/du = e^u

du/dx = 2

Substituting these values, we get:

dy/dx = e^u * 2

dy/dx = 2e^(2x)

Therefore, the derivative of y = e^(2x) is 2e^(2x).

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