If #f(x) =-sqrt(3x-1) # and #g(x) = (2-1/x)^2 #, what is #f'(g(x)) #?
First of all, figure out what
Using the chain rule, we get:
Now, we just plug
Expand the above equation...
Expand and simplify.
Move all the fractions in the denominator into one fraction.
Move the denominator of this new fraction into the numerator of the bigger fraction.
This bigger fraction cannot be simplified further.