Question

need to doublecheck a second derivative

Answer 1

never mind, I found my mistake (the distribution monster got me again)

Answer 2

Use the quotient rule to obtain
\[
f'(x)=-\frac{1}{(x-1)^2}
\]

Answer 3

\[f''(x)= \frac{2}{(x-1)^3}
\]

Answer 4

thanks :)

Answer 5

yw