Show that the function f(x)= ` x^(3) - 3x^(2)+3x - 1 ` is an increasing function on R.

Explanation

To show that the function \( f(x) = x^3 - 3x^2 + 3x - 1 \) is an increasing function on \( \mathbb{R} \), we need to find its derivative and analyze its sign.

### Step 1: Differentiate the function
We start by differentiating \( f(x) \):

\[ f'(x) = \frac{d}{dx}(x^3 - 3x^2 + 3x - 1) \]
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