Can someone please help me find this derivative I know the answer but I don't get how to find it :
x (x^2 + 1) ^(-1/2)

Question

Can someone please help me find this derivative I know the answer but I don't get how to find it :
x (x^2 + 1) ^(-1/2)

anonymous · Answer

The step I am up to is 1 (x^2 + 1) ^ (-1/2) + x (-1/2) (x^2 + 1) ^-3/2  (2x) but I don't know where to go after this

anonymous · Answer

(x^2 + 1) ^ (-1/2) is common in both

anonymous · Answer

take it out and then add

anonymous · Answer

?

anonymous · Answer

can you elaborate further? add ?

anonymous · Answer

like can you show me

anonymous · Answer

(x^2 + 1) ^ (-1/2)  [ 1 + x (-1/2) (x^2 + 1) ^-1 (2x)  ]

anonymous · Answer

is this clear? :)

anonymous · Answer

ok the final answer was 1 / (x^2 + 1) ^ -3/2 how would u get that from this?

anonymous · Answer

?

anonymous · Answer

? can i get an answer

anonymous · Answer

well...i am not getting that answer :|

anonymous · Answer

yeah that is the correct answer though

anonymous · Answer

can someone thats looking at this prob guide me through with steps?

asnaseer · Answer

Is this the equation you are trying to differentiate?$$x\sqrt{x^2+1}$$

asnaseer · Answer

sorry - I meant:$$\frac{x}{\sqrt{x^2+1}}$$

anonymous · Answer

yeah asnnaseer!

anonymous · Answer

i got it :D

anonymous · Answer

Can you guide me through from the beginning?

anonymous · Answer

please

asnaseer · Answer

ok - it looks like @telltoamit has got it so I'll let him/her explain it to you...

anonymous · Answer

(x^2 + 1) ^ (-1/2) [ 1 + x (-1/2) (x^2 + 1) ^-1 (2x) ]
=
(x^2 + 1) ^ (-1/2) [ 1 - x^2  (x^2 + 1) ^-1 ]

anonymous · Answer

(x^2 + 1) ^ (-1/2) [  (x^2 + 1) ^-1 ]

anonymous · Answer

thats ur answer

anonymous · Answer

clear?

anonymous · Answer

yeah thankss

anonymous · Answer

You're welcome :)