Question

Suppose that f(2) = 5, f '(2) = 5, g(2) = -6, and g'(2) = 4. Find the following values: (fg)'(2); (f/g)'(2); (g/f)'(2)

Answer 1

write down the formulas, for example for the product rule, and then plug in the number you are given. for example
\[(fg)'=f'g+g'f\]

Answer 2

number would be
\[5\times (-6)+4\times 5\]

Answer 3

clear?

Answer 4

And do the same for the other problems by using rules?

Answer 5

exactly.

Answer 6

Perfect, thanks =]

Answer 7

just write down the rules
\[(\frac{f}{g})'=\frac{gf'-fg'}{g^2}\] and then plug in the values given for each

Answer 8

yw