Question

derivative help

Answer 1

idk where to begin

Answer 2

...

Answer 3

you can memorize the answer to the derivative of \(\log_b(x)\) as one way to do it

Answer 4

the other way is to write
\[\log_2(x-1)=\frac{\ln(x-1)}{\ln(2)}\] by the change of base formula, then take the derivative

Answer 5

understanding that \(\ln(b)\) is just a constant (number) it is always truethat
\[\frac{d}{dx}[\log_b(x)]=\frac{1}{x\ln(b)}\]

Answer 6

\[\frac{ 1 }{ (x-1)(\ln 2) }\]

Answer 7

confused