Bài tập CALCULUS 20

Created by T Madas Question 79 (***) The curve C has equation y = x − x3 + , x ∈ » Find the coordinates of the stationary points of C and determine their nature ( ) C2Q , at , − 11 , point of inflexion ( 0,1) 16 Created by T Madas Created by T Madas Question 80 (***) non calculator The curve C has equation y = x2 − 16 3x , x ≠ Show that C has two points of inflection and determine their coordinates ( 2, 83 ) , ( −2, 83 ) Created by T Madas Created by T Madas Question 81 (***)  2x +1 y =  , x >0  3x  a) Express y in the form Ax −2 + Bx −3 + Cx −4 , where A , B and C are fractions to be found b) Hence determine simplified expressions for … i … dy dx ii …  y dx dy C1K , y = x −2 + x −3 + x −4 , = − x −3 − x −4 − x −5 , 9 9 dx  y dx = − x −1 − x −2 − x −3 + C 9 27 Created by T Madas