Question

Find the slope of the curve.

Answer 1

\[\frac{ 1 }{ x-1 }\] at x=2

Answer 2

I think you're teaching me...

try setting it up just like you did last time... that seemed to work!

Answer 3

lim h->0 \[\frac{ \frac{ 1 }{ (a+h)-1 }-1 }{ h }\]

Answer 4

next?

Answer 5

im stuck lol

Answer 6

common denominator on the top stuff...

Answer 7

oooooo thx

Answer 8

you always need to be watching for ways to cancel that h on the bottom... can't have a 0 in the denominator when you do the limit.

Answer 9

ik 1 sec

Answer 10

\[\frac{ \frac{ 1 }{ a+h }-\frac{ a+h }{ a+h } }{ h }\]

Answer 11

\[\frac{ 1-a+h }{ a+h } (\frac{ 1 }{ h })\]

Answer 12

screwed up the top -a+h should be -(a+h)

Answer 13

\[\frac{ 1-(a+h) }{ h(a+h) }\]

Answer 14

now should i plug in 2 for a?

Answer 15

I think that's how you did it last time...

Answer 16

\[\frac{ -1-h }{ h(2+h) }\]

Answer 17

now i cant do anything but plug in the limit and as of now it doesnt exist.... i screwed up somewhere

Answer 18

possibly :( sorry... These are a bit of a pain...

Answer 19

ik haha n the sad part is this is my homework so it SHOULD be eaasy...

Answer 20

you lost me when you did the common denominator on top... either you simplified before you posted it, or you made an error there.