Find f'(t) and f'(3)

Question

If ^{2 2}

1. find 
2. find 

Answer 1

Hey Bonnie!

Looks like you're learning about the product rule in calculus!

As a reminder, the product rule says that:

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

So here, let's let t² + 5t + 7 represent our "f"

and then we can let 3t² + 6 represent our "g"

Now you can find the derivative of each using the power rule and then you can plug into the above formula.

Hope that get's you started!