Answer:
86
Step-by-step explanation:
The desired value is 12 times the derivative of the function product (fg), evaluated at x=6. The product rule for derivatives applies.
Product Rule
(fg)' = f'g +fg'
Application
Using the given values in the product rule formula, we find ...
(12fg)'(6) = 12(f'(6)g(6) +f(6)g'(6))
= 12(7(1/6) +(-2)(-3)) = 12(7/6 +6) = 14 +72
(12fg)'(6) = 86
