Question

Suppose that f(5) = 1, f '(5) = 4, g(5) = −9, and g'(5) = 6. Find the following values.
(f/g)'(5)=?
(g/f)'(5)=?

Answer 1

would the first one be -8/9 and the next one 72?

Answer 2

it said they were wrong

Answer 3

that isn't the quotient rule

Answer 4

\[(\frac{f}{g})'=\frac{g \cdot f' -f \cdot g'}{g^2}\]

Answer 5

and that would be -9(4)-1(6)/(-9^2)

Answer 6

ah yes - freckles has it

Answer 7

\[(\frac{f}{g})'(5)=\frac{4(-9)-6(1)}{(-9)^2}\]
is correct

Answer 8

the answer is-8/9, but i get it wrong

Answer 9

then answer for (f/g)'(5) isn't -8/9

Answer 10

how did you get -8/9 ?

Answer 11

really? -36-6/81=-72/81

Answer 12

-36-6=-42

Answer 13

haha wow i, dumb

Answer 14

i kept thinking 42 but i wrote 72 each time, ok thanks for clearing that up

Answer 15

that simplifies to -14/27

Answer 16

yea got it

Answer 17

I but that is exactly what happened on your second problem too
you wrote 72 instead of 42 :p