Question

calculate the derivative of $f(x)=(x - 1)(x - 7)(x - 6)$ using the appropriate rule or combination of rules.
$f(x)=$

Explanation:

Step1: Expand the function

$$
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$$

Step2: Differentiate term - by - term

The derivative of \(x^n\) is \(nx^{n - 1}\).
The derivative of \(x^3\) is \(3x^{2}\), the derivative of \(-14x^2\) is \(-28x\), the derivative of \(55x\) is \(55\), and the derivative of the constant \(-42\) is \(0\).
So \(f'(x)=3x^{2}-28x + 55\).

Answer:

\(3x^{2}-28x + 55\)