Question

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

Answer 1

Answer:

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.