x = 3,cos d/dx \{x(x - 1)(x - 2)(x - 3)\}

To solve the derivative of the expression \( f(x) = x(x - 1)(x - 2)(x - 3) \), we will use the product rule and/or expand the expression first.

### Step 1: Expand the Expression
First, let's expand the given expression to make it easier to differentiate:

\[
f(x) = x(x - 1)(x - 2)(x - 3)
\]

We can group the terms in pairs to simplify the expansion:

\[
(x - 1)(x - 2) = x^2 - 3x + 2
\]
\[
(x - 2)(x - 3) = x^2 - 4x + 3
\]

So, now we multiply:

\[
f(x) =

Learn how to find the derivative of the polynomial expression x(x - 1)(x - 2)(x - 3) using the product rule and polynomial expansion. This problem focuses on calculus concepts suitable for Grades 11-12.

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