Bài tập Toán DIFFERENTIATION 10

Created by T Madas STATIONARY POINTS Created by T Madas Created by T Madas Question (non calculator) For each of the following cubic equations find the coordinates of their stationary points and determine their nature a) y = x3 − x − x + b) y = x3 + 12 x + 45 x + 50 c) y = x3 − x + 12 d) y = 25 − 24 x + x − x3 ( 3, −24 ) , max ( −1,8 ) , ( −3, −4 ) , max ( −5,0 ) ( 2, ) , max ( 0,12 ) , ( 2,5 ) , max ( 4,9 ) Created by T Madas Created by T Madas Question For each of the following equations find the coordinates of their stationary points and determine their nature a) y = x + , x ≠ x b) y = x + 16 , x x≠0 c) y = x − x , x > d) y = x + , x ≠ x ( ) ( 2, ) , max ( −2, −4 ) , ( 2,12 ) , ( 4, −4 ) , ,3 Created by T Madas