Question

Find f' (x) for f(x) = log6(x9+1)

Answer 1

do you mean log to base 6 of (x^9 + 1)?

Answer 2

or log to base e (ln) of 6(x^9 + 1)?

Answer 3

yes I do mean log to base of ( x^9 +)

Answer 4

to the base 6?

Answer 5

yes

Answer 6

i'll have to check this out...

Answer 7

ok

Answer 8

right - i'd forgotten that bit of calculus

(log6 x)' = 1/ ln 6 * 1 /x

so we need to use the chain rule as x is replaced by (x^9 + 1)

Answer 9

ok its cool

Answer 10

so its

(1/ln 6) * 1/(x^9 + 1) * 9x^8

= 9x^8
-----------
ln 6 ( x^9 + 1)

Answer 11

agreed?

Answer 12

Thank you soo much that is the answer my exam is a take home multi choice

Answer 13

your welcome - you are cool with the chain rule?

Answer 14

yea