# Question #b5828

##### 1 Answer

Ok, so we've got:

Now, let's transform this into:

Whereby, **u is a function of x** and **v is a function of x** .

If this is the case:

This formula is actually called the **product rule ** . Also, remember that **y'** is the same as

Alright, so it turns out that:

Also:

When

With the information we've just produced, we can now figure out what

*This result is **y'**.

Now, using a similar strategy, let's figure out what **y''** is the same as

Which means that:

*This result is **y''**.

If you'd like to know how the product rule can be produced from scratch, visit the link below. It may help you understand why we use it.