## derivative of e^x

### The derivative of the function f(x) = e^x can be found using the chain rule

The derivative of the function f(x) = e^x can be found using the chain rule. The chain rule states that if we have a composite function, we can find its derivative by multiplying the derivative of the outer function with the derivative of the inner function.

In this case, the function f(x) = e^x can be seen as a composite function where the outer function is the exponential function, and the inner function is x. The derivative of the exponential function e^x is itself, and the derivative of x is 1.

Therefore, applying the chain rule, the derivative of f(x) = e^x is simply e^x multiplied by the derivative of x, which is 1. So, the derivative is:

f'(x) = e^x * 1 = e^x

In summary, the derivative of e^x is e^x.

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