\fRecall: If y = g(x) - h(x) then dy = g'(x) . h(x)+ g(x).h'(x) [product rule] (x)8 dy h(x) . g'(x) - g(x) . h'(x) If J= h(x) then dx (h(x))2 [quotient rule] If y = f(g(x)) then dx dy = f(g(x)) .g'(x) [chain rule] Ex. 4) For F and G functions and given that: F(5) =-1, F'(5) = -3 G(5) =4 G'(5) = 2 a) If P(x) = F(x) . G(x) , then evaluate P' (5). P' (5) = b) If O(x) = F(x) G(x)' , then evaluate @'(5). Q'(5) = Ex. 5) For R and Q functions and given that: O(-1) = 5, R(-1) =-4, R(5) =7; O'(-1) = -3, R'(-1) =2, R'(5) =-1 If f(x) = R(O(x)) , then evaluate f' (-1) . f(-1) =