Question

if f(x) = ln (x+ ln x ) , find f' (x)

Answer 1

@Directrix

Answer 2

Is this even answerable?

Answer 3

I dunno, but I hope someone can help you o-o

Answer 4

Hint: \[\frac{ d }{ dx } lnx = \frac{ 1 }{ x }\]

Answer 5

use the chain rule

Answer 6

hmmm cna you show me

Answer 7

Notice that we have a function within a function right?

\[\frac{ d }{ dx }\ln(x+\ln(x))\]

Answer 8

yea

Answer 9

can you identify the two functions?

Answer 10

you've got ln(x) and within that you have x+ln(x)

Answer 11

you can apply chain rule here because you've got a function within a function.

so first, take the derivative of both functions.

Answer 12

log formula ?

Answer 13

so @Astrophysics gave you a hint

Answer 14

but first I need you to identify both functions in our problem.

Answer 15

question does it look like this .. okay so ik theres a ln and a chain rule