Question

f(x)=3x^2-2 find f(x+h)-f(x)
____________
h

Answer 1

go ahead; type it in :)

Answer 2

type it in where

Answer 3

6x

Answer 4

6x + ____

Answer 5

6x+0

Answer 6

6x - 0

Answer 7

lol; only if h= 0 :)

6x + 3h

Answer 8

@amistre so the answer is 6x+3h?

Answer 9

h is approach to o, by its definition, if i dont forget

Answer 10

@suzi how you got that answer

Answer 11

h doesnt approach 0 unless its told to; but yes; the limit of the function as h-> 0 = 6x

6x + 3h is the difference quotient tho

Answer 12

because that is derivative, and u use definition

Answer 13

definition of derivative is:

\[\lim_{h \rightarrow 0} [6x +3h] = Dx(3x^2 -2)\]

Answer 14

without the limit part, its just a difference quotient

Answer 15

oh ok

Answer 16

so the answer is 6x+3h?

Answer 17

yes

Answer 18

thanks