Question

Find the slope of the curve.

Answer 1

the slope at a specific piont or the whole curve?

Answer 2

y=x^{2}-4x at x = 1

Answer 3

ik you use lim h->0 \[\frac{ f(a+h)-f(a) }{ h } \]

Answer 4

you could also take the derivative dy/dx and evaluate at x = 1

Answer 5

but your definition and approach should work also... I just don't recall that one as well. But it's much more general, I think... can be good to know.

Answer 6

i havnt done derivitive yet i have to do it that way ^^^ but i need help

Answer 7

oh, sorry :(

Answer 8

thx anyways

Answer 9

your equation is finding the slope at a specific point of the curve, the derivative if for the entire function

Answer 10

like i said above... im not doing a derivitive

Answer 11

oops, I messed that up...

Answer 12

ooo never mind ik how to do it now. thx!

Answer 13

f(a) is just like f(x).

f(a + h) is like f(x+a)... just substitute in (a+h) for every x term.

Then subtract the expressions and divide by h, and take the limit as h ->0

Answer 14

\[\frac{ (a+h)^2 +4(a+h) - f(-1) }{ h }\]

Answer 15

for what it's worth, the "meaning" of your limit expression means, compare the value of the function at two points, one with x value of "a" and the other separated by h units, are "a+h". Now shrink that h value smaller and smaller toward h-->0. The amount of change in the value of the function when h is approaching 0 is the slope at that point x=a

Answer 16

I think that middle term should have been -4(a+h)

Also, leave f(a) in the last term as (a^2 - 4a) (don't sub in x=1 yet)

Answer 17

the slope equals 3

Answer 18

\[\frac{ a^2+h^2+ah+4a+4h+3 }{ h }\]

Answer 19

plug in -1 for a everywhere

Answer 20

\[\frac{ 1+h^2-h-4+4h+3 }{ h }\]

Answer 21

\[\frac{ h^2-h+4h }{ h }\]

Answer 22

limh h->0 h+3=3

Answer 23

nice :)

Answer 24

thanks haha

Answer 25

i have to do this pellet A LOT

Answer 26

bahahah i didnt type pellet

Answer 27

im about to post another. you have to do it the same way but im not sure what to do next

Answer 28

http://openstudy.com/study#/updates/506cb610e4b060a360feaaaf