Question

f(x) = √(2x) , then f'(2) = _____ ?

Answer 1

@Loushe

Do you know how to differentiate ?

Answer 2

Yes.

Answer 3

I got (√2)/2

Answer 4

But the answer sheet says 1/2. Where did I go wrong?

Answer 5

You got

\[\sqrt{2}/2\]

=\[\sqrt{2}/\sqrt{2} \times \sqrt{2}\]

So according to you the answer should be

\[1/\sqrt{2}\]

Answer 6

Correct.

Answer 7

But now lets get to your question,

\[f(x) = √(2x)\]

f'(x)=

Now think and derivate it correctly.

Answer 8

f(x) =2(x)^1/2

Answer 9

f'(x) = x^-1/2

Answer 10

\[1/\sqrt{x}\]

Answer 11

=\[\sqrt{x}/x\]

Answer 12

So why is it not \[\sqrt{2}/2\] ?

Answer 13

@Loushe

You are not diffrentiating it right

Answer 14

Chain rule?

Answer 15

required
here f'(x)=√2(1/2 *1/√x)=1/√(2x)
hence f'(2)=1/√(2*2) =1/2

Answer 16

@matricked

Giving direct answers is not allowed

Please check the CoC- http://openstudy.com/code-of-conduct

Answer 17

f(x) =(√2) *√x =(√2) *(x)^1/2

Answer 18

Why not?

Answer 19

That helps me understand a lot.

Answer 20

@hba
but why to confse the person so much

yes clear explanation is required

Answer 21

@matricked

As a rule of thumb, we would prefer the askers to participate in the solution process instead of having the answerers doing all the work.


thats not really our concern; we are aimed at being a study site, not a free answering service. We would rather promote learning the material as opposed to just handing over answers. This social contract is aimed at curbing people from using the site to cheat with ...

Answer 22

@matricked

I hope you understand ?

Answer 23

@hba
i am not here to argue with the issue
it is also upto the choice of askers how he learns and upto us how we make his learning easy ...
if u r correct in ur ways then why so much botheration...

Answer 24

@matricked

These are the rules you have to follow them.

Answer 25

@hba
these medals aren't so improtant to me , neither i have asked anyone to click for the best response
thanking u
hope u understand ..

Answer 26

@matricked


This is not my concern whether you get 1000 medals on a question.


The concern is that you must let the asker participate and not give direct answers.

Answer 27

@matricked

I hope this is clear to you ?

Answer 28

@Loushe if you are clear with this question, then you can close this question...