Question

find the derviative of y=(ln(10x))^11

Answer 1

\[\frac{d}{dx}=\frac{11\ln^{10}(10x)}{x}\]
chain rule it up.

Answer 2

First apply chain rule:

\[y' = 11(\ln(10x))^{10} * {d \over dx}(\ln(10x)) \]

d/dx { ln(10x) }= x

Therefore

\[y' = {11(\ln(10x))^{10} \over x}\]

Answer 3

11 ln(10x) ^10 * (1/(10x)) * 10 = (11/x) (ln(10x))^10, which looks like I agree with slaaibak.

Answer 4

we all have the same answer, seems like it's probably true.

Answer 5

Ah, yes, thank you agreene, rereading your TeX I agree :)

Answer 6

that isnt right

Answer 7

Perhaps you meant y=ln ((10x)^11) ?
The answer for that one would be
y = 11/x.