Question

Can someone please check my answer please

Answer 1

sure

Answer 2

I got 27 for my answer

Answer 3

emm...can u plz show ur work?

Answer 4

(9/3(3)^2)=27

Answer 5

but the question asks u to evaluate \(g'(3)\)

Answer 6

right did I not go far enough

Answer 7

what u've done is evaluating \(g(3)\) not \(g'(3)\) :)

Answer 8

see http://en.wikipedia.org/wiki/Quotient_rule

Answer 9

ok I took 9--3 and got 12

Answer 10

(12/3(9)^2=324?

Answer 11

the quotient rule is:
bottom * d (top) - top * d(bottom)

then divide all of that by the (bottom*bottom) evaluated at x=3

Answer 12

ok I guess I am confussed on what bottoma dn top mean

Answer 13

they are not official terms, but i mean the numerator and denominator of
\[ g(x)= \frac{f(x)}{3x^2} \]

Answer 14

to find the derivative of g(x) you use the quotient rule

Answer 15

I keep getting really big numbers I don't think it is right. For 3x^2 for the x do I put 3 in

Answer 16

this is an ugly problem. I would do it in pieces, and not evaluate anything until the end

for bottom * d (top)
I would write 3x^2 * f'(3) then replace x with 3 (because we are doing g(x) at x=3)
to get 3*3^2 * f'(3)= 3^3* -3= -3^4 and leave it like that for the time being

now do
top* d(bottom)
what do you get ?

Answer 17

I get -3*3(9)^2

Answer 18

=-729

Answer 19

how? top is f(3)
d (bottom) is d/dx (3x^2) = ?

Answer 20

9*(3(3)^2=243

Answer 21

I grt 162 for final answer

Answer 22

you have to take the derivative of 3x^2 first, then put x=3 into the derivative.

Answer 23

you have to take the derivative of 3x^2 first, then put x=3 into the derivative.
that is what I meant by
d (bottom) is d/dx (3x^2) = ?

Answer 24

ok and I got hold on

Answer 25

Igot 6

Answer 26

16*9=144

Answer 27

144+-81=63 final answer

Answer 28

what is
\[\frac{d}{dx} 3x^2 \]
?
don't put any numbers in .

Answer 29

6

Answer 30

6x

Answer 31

better.

so let's put the pieces together

we are doing
\[ \frac{ bottom*d(top) - top*d(bottom)}{bottom^2} \]

so far we have
bottom * d (top)= -3^4 = -81
top*d(bottom)= 9* 6x = 54*3= 162

so we have
\[\frac{ -81- 162}{bottom^2} \]

Answer 32

what is the bottom squared ?

Answer 33

bottom=-3 correct

Answer 34

bottom= 3x^2

put in x=3 and then square the whole thing

Answer 35

final answer=-364.5

Answer 36

what is the bottom squared ?

Answer 37

6(3)^2=324

Answer 38

what is 3*x*x ?

Answer 39

27

Answer 40

and what is 27 squared (notice that the bottom= 3x^2 = 27, now we square it)

Answer 41

729

Answer 42

what do you get for the final answer?

Answer 43

final answer -.33

Answer 44

-1/3 you get 0.33333....

Answer 45

If you have time, you should go over this again and see if you can do it on your own.

Answer 46

ok so then the 0.333 with no negative is the final answer and yes I will go over again

Answer 47

I lost a minus sign the answer is -1/3 = -0.3333...