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:
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
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.