Question

Chain rule with quotient rule....?
I tried to solve this problem but ended up in a numerical mess:
find the derivative of :y=x/[sqrt(x^4+4)]

Answer 1

quotient rule

Answer 2

\[\frac{f}{g}=\frac{x}{\sqrt{x^4+4}}\]

Answer 3

\[\huge (\frac{f}{g})'=\frac{\sqrt{x^4+4}-\frac{2x^4}{\sqrt{x^4+4}}}{x^4+4}\]

Answer 4

not that too mess

Answer 5

flawless work @mukushla, just to avoid confusion, on the quotient in the numerator, it should be 2x^3 right?

Answer 6

dont forgot x f'g-fg'

Answer 7

oh yes, thank you, I missed that step!.

Answer 8

@rymdenbarn

Answer 9

is that what u got?

Answer 10

@mukushla I had slipped up towards the end but I get it now
This was my original answer

Answer 11

almost done