# How do you differentiate # f(x)=(e^x+1)*(x+1)*sin(x)# using the product rule?

##### 1 Answer

#### Answer:

Treat two of the multiplicands as a single function, then apply the product rule twice.

#### Explanation:

The product rule states that

To apply it in this case, let's let

Now we can write

So, applying the product rule,

But

Then we can substitute to put

Now we calculate

Substituting this all in, we have