# How do you apply the product rule repeatedly to find the derivative of #f(x) = (x - 3)(2 - 3x)(5 - x)# ?

##### 1 Answer

Oct 5, 2014

The product rule states that

So,

The derivative of

The derivative of

The derivative of

Substituting back we get

Using FOIL we get

Collecting like terms we get our derivative;