Question

sumone highlight the main things about this topic and the things i need to keep in mind for this topic!! ^.^

Answer 1

also refer me to a youtube video on this topic

Answer 2

Look at the bottom conclusion please :-)

Answer 3

yeah but it doesn't tell me what key points/tricks i need to keep in mind..

Answer 4

Go to youtube and look up "instantaneous rate of change" at the khan academy

Answer 5

https://www.youtube.com/watch?v=wpNCdH_Ilmc

Answer 6

no but this involves i lil biff of calcu...

Answer 7

Instantaneous rate of change is linked with calculus

Answer 8

ok abbu

Answer 9

tanks guys, i really appreciated your struggle n effort.. <3

Answer 10

Yaar dekho yaha elaan na karo meri badnaami hogi.

Answer 11

juhahahahahaha......

Answer 12

has raha he dhas raha he?

Answer 13

wodda....dhas?? thats not even a werd abbu meyaan!!

Answer 14

dhasna, yaar nahi pata?

Answer 15

chal bta de...papa!!

Answer 16

@zepdrix i don't get what A(a,f(a) means and idk where "B(a+h,f(a+h))" came from..plz summerize it for me.plz!! X"D

Answer 17

plz tell me the steps.how do i approach to solve these questions....<3

Answer 18

You're probably familiar with labeling points like this, yes?
\(\large\rm A(x_1,y_1)\) and \(\large\rm B(x_2,y_2)\)

Answer 19

A is some ordered pair x,y.
I put the 1 to show that it's different than the other x,y.

Answer 20

ockay..kinda...i mean yes..that A(x,y), B(x,y)..sure!!

Answer 21

Yes, but we need to show that the x,y in A are different than the x,y in B.
So we have to make them different some how.

Anyway, now that you're venturing into "big boy math",
you have to get comfortable with function notation.

Answer 22

Instead of using \(\large\rm x\) and \(\large\rm y\),
we'll be using \(\large\rm x\) and \(\large\rm f(x)\) from now on.

Answer 23

aawwnn ok...keep going

Answer 24

So your ordered pair now looks like this:
\(\large\rm A(x,y)=A(x,f(x))\)

Answer 25

All we did was replace y with f(x).

Answer 26

its actually A(a,f(a)) but same thing i guess!! ^.^

Answer 27

Yes, that's the next step.
We'll start at some location x=a.

\(\large\rm A(a,f(a))\)

k cool.

Answer 28

So it has an x coordinate of a,
and a y coordinate of f(a).

Answer 29

ok ☺

Answer 30

To get to our next point,
we'll add some length h to the starting point.

So our new x coordinate will be located at a+h.

Answer 31

The new y coordinate will be the `function of that x coordinate`.
f(a+h) <- new y coordinate.

Answer 32

ockay🙂🙂

Answer 33

Do you remember your old fancy slope formula?\[\large\rm m=\frac{y_2-y_1}{x_2-x_1}\]That's exactly what we're doing here,
but we're using function notation so it looks unfamiliar.

Answer 34

so the "h" in f(a+h) basically y??

Answer 35

The whole thing f(a+h) is your new y.

Answer 36

o eye c!! ^.^

Answer 37

it really helps if you can think of these coordinates as `lengths` and `heights` instead of just `points` floating around.