Question

Help Please.
difference quotient question

Answer 1

7/x using \[f(x+h)-f(x)/h\]

Answer 2

\[\frac{f(x+h)-f(x)}h\]

Answer 3

yea that

Answer 4

i got as far as this

Answer 5

find a CD in the numerator
\[\frac{ \frac{ 7 }{ x+h } -\frac{ 7 }{ x } }{ h }\]

Answer 6

\[\frac{ \frac{ 7(x+h)-7x }{ x(x+h) } }{ h }\]

Answer 7

i got the answer as -7

Answer 8

whoops signs need to be swapped

Answer 9

\[\frac{ \frac{ -7(x+h)+7x }{ x(x+h) } }{ h }\]

Answer 10

simplify the numerator

Answer 11

\[-7(x+h)+7x =?\]

Answer 12

-7h
then divide by the h and you get -7 right?

Answer 13

yep:)
\[\frac{ \frac{ -7h }{ x(x+h) } }{ h } = \frac{ -7h }{ h*x(x+h) }\]

Answer 14

\[\frac{ -7 }{ x(x+h) }\]

Answer 15

now you can take the limit without a problem...

Answer 16

so the final answer would be

Answer 17

I guess... aren't you supposed to be taking the limit as h->0 ?

Answer 18

idk really the instructions just say to simplify

Answer 19

I guess you're fine then

Answer 20

thanks alot your a great help :)

Answer 21

sure:)