Question

Let f(x) be the function 8x^2-3x+11 . Then the quotient f(2+h) - f(2)/h
can be simplified to ah+b for:

a=

b=

Answer 1

what u got as f(2+h) =.. ?

Answer 2

nothing because I'm not exactly sure with derivatives.

Answer 3

to get f(2+h) from f(x), just replace 'x' in f(x) by '2+h'

Answer 4

8(2+h)^2-3(2+h)+11

Answer 5

Yeah, this is just algebra, that it happens to be the derivative is interesting but inconsequential for working the problem. You need to take what @hartnn gave you in the last post, subtract f(2), divide the whole enchilada by h and simplify. Then you can read out the values of a and b.

Answer 6

whats f(2)?

Answer 7

The value of the polynomial at x = 2:
\[8(2)^3-3(2)+11\]

Answer 8

then what

Answer 9

??

Answer 10

then what u got as f(2+h) - f(2) =.. ?

Answer 11

32+32h+8h^2-6-3h+11-32-6+11/h

Answer 12

Pet peeve of mine: that's really (32+32h+8h^2-6-3h+11-32-6+11)/h

Okay, so simplify that sucker! Collect like terms, cancel out any common factors between numerator and denominator...

Answer 13

i did. 32+8h-3

Answer 14

Okay, you can do a little more, I think...

Answer 15

Then go take another look at the problem statement. An important skill is recognizing when you've finished the problem, or what you have left to do...

Answer 16

they're asking what a and b

Answer 17

What's your final, completely simplified version of the result?

Answer 18

32+8h-3

Answer 19

No. You're not done yet.

Answer 20

idk

Answer 21

let me rearrange it:
32 - 3 + 8h

Answer 22

don't you have two terms you can combine to further simplify that?

Answer 23

aw yes!

Answer 24

thanks!

Answer 25

look out forehead, incoming palm! :-)

Answer 26

now can you find a and b?

Answer 27

8 and 29

Answer 28

there you go!

Answer 29

thanks =]

Answer 30

you bet. time for this guy to hit the sack. good night!

Answer 31

night!