Bài tập Toán DIFFERENTIATION 11

Created by T Madas Question For each of the following equations find the coordinates of their stationary points and determine their nature a) y = 12 x − x , x > b) y = x − x , x > c) y = x − x − 2, x > d) y = x − 14 x + 100, x >  1 max ( 4,16 ) , 2, −4 , max  ,  , ( 4, )  16  ( 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 = x3 − 16 x + 60, x > b) y = x − x + 10, x > c) y = x − x − 20, x > d) y = x − x − 10, x > ( 4, −4 ) , (1,9 ) , max ( 8,12 ) , max ( 4,6 ) 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 = b) y = 1 − , x>0 x x x −2 x2 c) y = x + d) y = , x>0 27 , x>0 x 2  −3 , x > x  x   2 4, − , max (1,1) , ( 27, ) ,  2, −    ( ) Created by T Madas