QUESTION 1 Let f(x) = {x2 + 1)(2x3 3x2 + 1) is a polynomial function of fth degree. Its rst derivative is fix) = 10x4 12x3 + 6x2 4x (found by the product rule of differentiation technique) and an equation of the tangent line to the graph of the function x) at the point (-1,-2} is found to be y = 32x + 30. - True - False QUESTION 2 2 Let J1'00 = 2X+21 is a rational function. Its rst derivative is X X 2x[x2 x 1] [x2:2:l(2x+l) _ x22x2 (x2+x+1)2 (x2+x+1) and its value at x=3 is f'(3) = %. fix} - True - False QUESTION 3 Let f(x) = 4 is a rational function. Its rst derivative is 1 1 I [2x2 1] 2 I - 5 [2x2 1] 2 4x - 2X (found by the chain rule of differentiation technique). 3 (2x2 1) 2 QUESTION 4 Let x) = (3x + 1)4(x2 x + If is a polynomial function of tenth degree. Its rst derivative is f'(x)-12(3x : 1)3{x2 x : 1f : 3(2x l)(3x : 1)4[x2 x : 1]2 (found by the product and chain rules of differentiation technique) and its value at x=0 is HO) = 9. - Tme - False