Question

find the derivative of f(x) = (3x^2 - 3x + 1)/(2x). Directions, put 2x under each term and simplify. Then take the derivative.

Answer 1

@satellite73 can u help?

Answer 2

@onegirl hints has been given in the ques
so what will u get after simplifying ?

Answer 3

ok hold on

Answer 4

after i put 2x over each term
f(x) = 3x^2/2x – 3x/2x + 1/2x
f(x) 3/2 x + 3/2 + 1/2x
f’(x) = 3/2 + 0 - 1/2x^2
f’(x) = 3x^2 – 1

Answer 5

last step is wrong
u forgot to write in denominator?

Answer 6

what step?

Answer 7

for f'(x) = 3x^2 - 1?

Answer 8

yeah

Answer 9

ohh

Answer 10

so 3x^2 -1/2x?

Answer 11

\[f(x)=\frac{3}{2}x-\frac{3}{2}+\frac{1}{2}x ^{-1}\]

Answer 12

it will be 3x^2-1/2x^2

Answer 13

okay

Answer 14

so what do i do after that?

Answer 15

it is ur answer

Answer 16

\[f'(x)=\frac{3}{3}-\frac{1}{2}x ^{-2}\]

Answer 17

so thats my derivative?

Answer 18

Whoops. Typo. Should be 3/2 not 3/3

Answer 19

yeah thats your derivative

Answer 20

okay ii guess not putting 2x^2 is why i got it wrong

Answer 21

yeah

Answer 22

thx

Answer 23

You were supposed to put 2x UNDER each term

Answer 24

yea i did

Answer 25

@Mertsj so i did it wrong?

Answer 26

@zepdrix can u help please? did i do it right or wrong?

Answer 27

Do you understand this step? ~Splitting up the fractions.
I wrote those ugly blobs to help show how we'll split it up.