1. If $\displaystyle x[f(x)]^3+xf(x)=6$ and $\displaystyle f(3)=1$, find $\displaystyle f'(3)$

wasn't sure how to deal with this but thot if f(3)=1 then

$\displaystyle x[1]^3 + x[1]= 6$

$\displaystyle x=3$

not sure how this helps nor how to get f'(X) to input f'(3)

The answer is $\displaystyle -\frac{1}{6}$

2. if $\displaystyle [g(x)]^2 + 12x = x^2g(x)$ and $\displaystyle g(4) = 12$, find $\displaystyle g'(4)$

there is no given answer to this one but still not sure how to deal with it