Question

Let f(x) = (11 ln x)/(8 x).

what is the derivative?
should look like this:
f' = (11 + A ln x)/(B x^C)

Answer 1

its whatever the quotient rule pops out id asume

Answer 2

you could put the 11/8 to the side and work the rest

Answer 3

\[\frac{a}{b}=ab^{-1}\]so you could rewrite it as a product rule

Answer 4

\[f(x)=\frac{11\ln x}{8x}=(11\ln x)(8x)^{-1}.\]If you are lazy, like me, you can apply the product rule instead.

Answer 5

mathikers are quite lazy ;)

Answer 6

wait so (11lnx)(8x)^-1 then simplify?

Answer 7

take the derivative of that using the product rule and then simplify; yes