Use the product rule to find the derivative. 3) f (x) = (3x-3) (5x + 1)

30x - 12

Step-by-step explanation:

the product rule is f (x) g' (x) + g (x) f' (x)

in this case f (x) = 3x-3 and g (x) = 5x+1. So we can just plug in we are going to find the derivative of each here.

f' (x) = 3 g' (x) = 5 Let me know if you don't know how I found the derivative of each.

Now we plug in.

f (x) g' (x) + g (x) f' (x)

(3x-3) 5 + (5x+1) 3

15x - 15 + 15x + 3

30x - 12

You can further factor it but I'm gonna leave it like this.