Derivative of Exponential Function

y=ex

$$\frac{dy}{dx}=\frac{e^{(x+h)}-e^x}{h}$$

$$\frac{dy}{dx}=\frac{e^x(e^h-1)}{h}$$

Limit h → 0, (eh --1)→ h

$$\frac{dy}{dx}=\frac{e^xh}{h}$$

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