Prove that f (x) = `e^(3x)` is strictly increasing function on R.

Explanation

To prove that the function \( f(x) = e^{3x} \) is strictly increasing on \( \mathbb{R} \), we will follow these steps:

### Step 1: Define the function
Let \( f(x) = e^{3x} \).

### Step 2: Consider two points
Let \( x_1, x_2 \in \mathbb{R} \) such that \( x_1 < x_2 \).

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