Question

Derivatives Question: How would I go about solving this question?

Answer 1

\(\large\rm (uv)'=u'v+uv'\)
Product rule, ya?

And then just evaluate everything at 0.
\(\large\rm (uv)'(0)=u'(0)v(0)+u(0)v'(0)\)
Plugging in the stuff they gave you.

Answer 2

\[\large\rm (uv)'=-5(-1)+8(4)\]Understand that first one?

Answer 3

Oh yes! Hold on, give me a second to try them/write them down and see what I get... (Working this through my mind)

Answer 4

Okay, so yes, the first one is 37.

Answer 5

Yes.

Answer 6

The next should I use the quotient rule?

Answer 7

Yes.

Answer 8

Would the next be -27?

Answer 9

Ummm, yes good!

Answer 10

is the next: 27/64?

Answer 11

Oh! And I think I figured out the last one using the addition subtraction rule that the deriv of the sum/difference of two functions is the sum/difference of the derivatives, and multiplied it out to get 30!

Answer 12

Yayyy good job \c:/