Theorem: Product Rule If f(x) = F(x)S(x) is the product of differentiable functions, then Of(2) = F(2)5(*) +5(x)F(:) Off (x) = S(x) F (x) - F(2)S'(x) [S(=)12 Of(*) = F[s(@)5(@) Of(2) = F(x)S(2) - 5(x)F () Of(x) = F(=)S'(z) + S(2) F(I) Of(2) =F(x)5(:)Theorem: Quotient Rule T(x) If f(@) = is the quotient of differentiable functions, then B(a) Of (a) = B()T(x) -T()B(2) [B'(=)12 O f (x) = BOT() -TO)B() [B(e)12 O BOT() +T(2)B() f' (*) = B'(x)T(x) - T (2)B(x) [B( )12 T' (2) Be) O f' (*) = B(ET (@) -T(@)B(x) [B(=)12