Question

Got a fun calculus problem
I know it , and i know you would know it , but i couldn't wait to share
@ganeshie8 @ikram002p

Answer 1

Derivative of
\[\huge y=x ^{x}\]

Answer 2

Anyone need hints?

Answer 3

If you know message me please

Answer 4

this is indeed a special problem involving a pretty use of logs

Answer 5

@ganeshie8 doesn't need any hints

Answer 6

YYesss

Answer 7

The first time i saw it i was stumped

Answer 8

its supposed to :)

Answer 9

\[\large y=x ^{x} \]

\[\large y =e^{\ln x ^{x} }\]

Answer 10

\[\large y =e^{x\ln x }\]

Answer 11

Or take log on both sides

logy=xlogx

Answer 12

thats like more direct ^^

Answer 13

next you wana do implicit differentiation is it

Answer 14

yes

Answer 15

nice :) so you basically touched all 3 differentiaiton types :

logarithmic/implicit/chainrule

Answer 16

saw it khanacademy.org

Answer 17

yeah a good practice

Answer 18

:D