The derivative of the function $k(x) = e^x$ is found using the well-known differentiation rule:

$\frac{d}{dx} e^x = e^x$

Thus,

$k'(x) = e^x$

Would you like a detailed explanation or any additional clarification?

Related Questions:

1. What is the derivative of $k(x) = e^{2x}$?
2. How do you differentiate $k(x) = e^{-x}$?
3. What is the second derivative of $k(x) = e^x$?
4. How do you differentiate $k(x) = e^x + x^2$?
5. What is the derivative of $k(x) = e^{x^2}$?

Tip:

The function $e^x$ is unique because it is its own derivative, making it an essential function in calculus and differential equations.