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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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