Question

DIFFERENTIATE: x*arctan(sqrt(x))

Answer 1

\[x*\arctan(\sqrt(x))\]

Answer 2

this is what i got:
\[\arctan(x) + x * \frac{ 1 }{ 1+\sqrt(x^2) } * \frac{ 1 }{(2\sqrt(x))}\]

Answer 3

it's wrong, but i can't see it, anyone see it? :S

Answer 4

thx bawss

Answer 5

no prob boss

Answer 6

hey @adgower, on your 2nd step, isn't (x^(1/2))^2 should be |x| ?

Answer 7

You are correct! and yes I did do that as well =). Need more explanation?

Answer 8

you don't need absolute value signs. Is that what you're asking?

Answer 9

yea

Answer 10

why not? o-o i mean isn't (sqrt(x))^2 the same as |x|

Answer 11

basically \[(x^{1/2})^{2} = x ^{(1/2)*2}=x\]

Answer 12

No because x can still be negative.

Answer 13

ah ok thx :D

Answer 14

\[\left| x \right| = \sqrt{x^{2}}\]