Question

compute the derivative of f(x) = (x^2 -3x- sqrt(x)/ sqrt(x)

Answer 1

please show all calc involved

Answer 2

F'(x)=-3+2 x

Answer 3

x^2 = 2x , -3x = -3, sqrt(x)/sqrt(x) = 1, 1= 0

Answer 4

i dont think she meant that

Answer 5

i think she meant all of the top over all of the bottom

Answer 6

u = x² -3x -√x --> u' = 2x -3 - 1/2√x
v = √x ---> v' = 1/2√x

= (2x -3 - 1/2√x) √x - [ (x² -3x -√x) 1/2√x ] / x
= 3x (x -1)/ 2x^(3/2)

Answer 7

f'(x) = (3 x-3)/(2 sqrt(x))

Answer 8

Common denominator is 2√x

Answer 9

Jinnie, I don't have that version of MS office on this laptop!

Answer 10

\[\frac{x^2-3x-\sqrt{x}}{\sqrt{x}}\]

Answer 11

@Jinne, could you check my u = ... , v = ....
If it's right then my answer's correct!

Answer 12

Thanks a bunch Mertsj :), then I'm correct!

Answer 13

So my answer is correct, yes?

Answer 14

I'm double check my work, rmrj!

Answer 15

can anyone view the attachment I posted

Answer 16

yes i saw ur document, couldnt see what your choice for D) was

Answer 17

my choice for d and e are 2x-1, 2x-3, respectively

Answer 18

I can't! Could you just type it up!

Answer 19

cholorphyll. give me a bit of time. i can switch computers. i can't type it out because its too funky.

Answer 20

I'm double check my calculation, anyway!
I just broke my powerful laptop, so now I'm using the antique one :(

Answer 21

It's C

Answer 22

merts are you sure. when i tried this i came up with b

Answer 23

can you demonstrate please?

Answer 24

Sorry to hear about that Cholorophyll. I broke my laptop as well so I have to walk on campus to use the schools computer for everything

Answer 25

"walk" , for real in this freezing weather... :'(

Answer 26

Bottom times derivative of top is
\[x ^{\frac{1}{2}}(2x-3-\frac{1}{2}x ^{\frac{-1}{2})}\]

Answer 27

I live like a 5 mins distance plus my roomate somtimes give me a ride. not so bad

Answer 28

-top times derivative of bottom IS:
\[-(x^2-3x-x ^{\frac{1}{2}})(\frac{1}{2}x ^{\frac{-1}{2}})\]

Answer 29

Put those two together and you have your numerator.

Answer 30

Put all of that over x which is the denominator squared

Answer 31

Now let's distribute and simplify

Answer 32

That's correct, so you take denominator is 2√x from inside the parentheses,
then distribute with √x out side

Answer 33

I don't see any flaw in my calculation!

Answer 34

\[2x ^{\frac{3}{2}}-3x ^{\frac{1}{2}}-\frac{1}{2}x ^{0}-\frac{1}{2}x ^{\frac{3}{2}}+\frac{3}{2}x ^{\frac{1}{2}}+\frac{1}{2}x ^{0}\]

Answer 35

remember this is all over x

Answer 36

Now collect the like terms.

Answer 37

\[\frac{3}{2}x ^{\frac{3}{2}}-\frac{3}{2}x ^{\frac{1}{2}}\]

Answer 38

Remember that is all over x so now divide each term by x

Answer 39

\[\frac{3}{2}x ^{\frac{1}{2}}-\frac{3}{2}x ^{\frac{-!}{2}}\]

Answer 40

Choice C

Answer 41

ok thanks

Answer 42

Ok. Now I'll check it with Wolf

Answer 43

What the result, Mertsj?

Answer 44

Is it 3 (x -1)/ 2 √x

Answer 45

\[\frac{3\sqrt{x}}{2}-\frac{3}{2\sqrt{x}}\]

Answer 46

Which is exactly what I said albeit in a slightly different form.

Answer 47

Your answer is the same thing chlorophyll

Answer 48

Yep, just in add together, --> (3x -1)/ 2√x

Answer 49

That would be 3x-3

Answer 50

I mean 3(x -1)/ 2√x

Answer 51

Happy, Jinnie :)