Calculate the derivative of the function y = e^x.

The derivative of y = e^x is y' = e^x.

To find the derivative of y = e^x, we use the power rule of differentiation. The power rule states that if y = x^n, then y' = nx^(n-1). In this case, we have y = e^x, which can be written as y = (e)^x. Using the power rule, we get:

y' = (e)^x * 1

Since the derivative of e^x is e^x, we can simplify this to:

y' = e^x

Therefore, the derivative of y = e^x is y' = e^x. This means that the slope of the tangent line to the curve y = e^x at any point is equal to the value of e^x at that point. For example, at x = 0, the slope of the tangent line is e^0 = 1.