# How do you differentiate #y = x(1 - x)^2(x + 2)^3#?

##### 1 Answer

Apr 3, 2015

The product rule gives us:

For a product of two factors, (First and Second)

Now, if there are three factors (First Second and Third), then we get

For

We can rewrite this:

Removing common factors and simplifying gives us:

**Final Note:**

Because

Our answer would look like:

which is, of course, equivalent to the expression above.