Question

whats the derivative of ln(1/2)

Answer 1

i know you get -ln(2) i just dont understand how

Answer 2

like where does the negative sign come from?

Answer 3

is this a trick question? :) ln(1/2) is a constant so derivative = 0

Answer 4

no thats not it

Answer 5

well what do you mean by "derivative"

Answer 6

like on one of the problems i am working on it says that ln(1/2) equals -ln(2)

Answer 7

herea a log property
\[\ln(x^n) = n*\ln x\]
1/2 can be written as 2^-1
\[\ln(1/2) = \ln(2^{-1}) = -\ln 2\]

Answer 8

ln(A/B) = ln(A) - ln(B)
ln(1/2) = ln(1) - ln(2) = 0 - ln(2) = -ln(2)

Answer 9

oh yes thats it

Answer 10

alright thanks

Answer 11

to avoid further confusion, please do not use the term derivative for these type of questions :)