Question

what is the derivative of 8 lnx. I know that the derivative of lnx is 1/x but I don't know what I do with the 8. I also know that something like lnx^2 is also 2 lnx but idk

Answer 1

Well, since you know that \[\frac{ dy }{ dx }[\ln (x)] = \frac{ 1 }{ x }\]
\[8 \ln(x) = 8 (\ln x)\]

So

\[\frac{ dy }{ dx } [8 \ln (x)] = 8 *\frac{ dy }{ dx }[\ln (x)]\]
\[= 8 *\frac{ 1 }{ x } = \frac{ 8 }{ x }\]

Answer 2

So \[\frac{ dy }{ dx }[8 \ln(x)] = \frac{ 8 }{ x }\]

Answer 3

sweet, thanks how do you make your work nice like that. is that math type?