Question

If F(x) = x^2 + 3x then simplify f(x+h) - f(x)/h

Answer 1

If F(x) = x^2 + 3x
FIRST YOU HAVE TO REPLACE X BY (X+H)

Answer 2

first you have to replace x by (x+h)
sorry caps lock was on
btw i'm not yelling

Answer 3

so then it is (x+h)^2 + 3(x+h)

Answer 4

yes right now solve this

Answer 5

(x+h)^2 same as (x+h)(x+h) so you have to foil it
for 3(x+h) you have to distribute parenthesis by 3

Answer 6

okay give me one second to do it out

Answer 7

np :)

Answer 8

x^2 + xh + hx+ h^2 + 3x + 3h

Answer 9

good now combine like terms

Answer 10

xh+xh = ??

Answer 11

they go away because there the same correct?

Answer 12

nope bec both are positive

Answer 13

so its xh^2

Answer 14

nope when you multply variables then you should add their exponent
you are adding xh+xh

Answer 15

how many xh are there ??

Answer 16

2 so would it be 2xh

Answer 17

yes right

Answer 18

now use that formula
and replace f(x+h) by x^2 + 2xh+ h^2 + 3x + 3h
and f(x) by x^2 +3x

Answer 19

I'm sorry what?

Answer 20

okay so f(x+h) = x^2 + 2xh+ h^2 + 3x + 3h
and f(x) = x^2 +3x(original question f(x))

Answer 21

every x replace (x+h)

Answer 22

use this formula