Derivative of exp(x)

Step-by-step solution

1. 1Derivative of eˣ
   $$\frac{d}{dx}\left[\exp \left(x\right)\right]=e^x$$

   $e^x$ is its own derivative — a unique property of the natural exponential.

2. ✓Final Answer
   $$\frac{d}{dx}\left[\exp \left(x\right)\right]=\exp \left(x\right)$$

   The first derivative simplifies to $\exp \left(x\right)$.