Find out the 𝑛𝑡ℎderivative of the following functions:
a) 𝑦 = 𝑒𝑎𝑥

To find the \( n \)th derivative of the function \( y = e^{ax} \), we'll use the fact that the derivative of \( e^{ax} \) with respect to \( x \) is \( a \cdot e^{ax} \).

### Step-by-Step Derivation:

1. **First Derivative:**
   \[
   y' = \frac{dy}{dx} = a \cdot e^{ax}
   \]

2. **Second Derivative:**
   \[
   y'' = \frac{d^2y}{dx^2} = a^2 \cdot e^{ax

Learn how to find the nth derivative of the exponential function y = e^{ax} step-by-step. This problem covers calculus concepts including derivatives of exponential functions. Suitable for undergraduate level students.

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