If f(3) =4 g(3)=2 f'(3)=6 and g'(3)=5

find the following numbers
a)
(fg)' (3)

b)
(f/g)' (3)

1 answer

Just use the product/quotient rules:

(fg)' = f'g + fg' = 6*2 + 4*5 = 32

(f/g)' = (f'g - fg')/g^2 = (12-20)/4 = -2