Question

\[\frac{ d }{ dx }\left[ (x ^{2} +1)\ln x\right]\]

Answer 1

do you know product rule of derivatives ?

Answer 2

use the multiply rule :
y ' = u' v + uv'

Answer 3

yes

Answer 4

oppss. product not multiply.. haha :)

Answer 5

so wouldn't it be

Answer 6

\[2x \times \ln x +(x ^{2}+1)\frac{ 1 }{ x }\]

Answer 7

yes, thats correct ! :)

Answer 8

oh nevermind lol the book just simplified it even more into
\[(x ^{2}+1)/x+2xlnx\]

Answer 9

okk..but its the same thing! :O

Answer 10

yeah the way they wrote it was weird i couldn't figure out why 2xlnx was on the bottom and then i realized it wasn't they are just adding it ot the other one that is a fraction