Differentiate the function y = e^(3x).

The derivative of y = e^(3x) is 3e^(3x).

To differentiate y = e^(3x), we use the chain rule. Let u = 3x, then y = e^u. The derivative of e^u is e^u multiplied by the derivative of u with respect to x. Therefore, the derivative of y with respect to x is:

dy/dx = e^u * du/dx
dy/dx = e^(3x) * d(3x)/dx
dy/dx = e^(3x) * 3

Simplifying the expression, we get:

dy/dx = 3e^(3x)

Therefore, the derivative of y = e^(3x) is 3e^(3x).