Chain Rule; Diff. of Exp., MAC 2311 Learning Activity #7 Log., & Inv. Trig. Functions 3. Suppose f(3) = 4 and f'(3) = 2. Let g(x) = x2f(3x). Find the equation of the line tangent to g(x) at x = 1. 4. Use the chain and product rules to prove the quotient rule. In other words, show that if y = f(2) then dy _ f' (2) g(2) - g'(2) f (2) g(x) dx [g(2) ]2