Bài tập Toán DIFFERENTIATION 12

Created by T Madas INCREASING and DECREASING FUNCTIONS Created by T Madas Created by T Madas Question For each of the following equations find the range of the values of x , for which y is increasing or decreasing a) y = x3 − 3x − 12 x + , increasing b) y = x3 − x + 12 , decreasing c) y = x3 − 3x + , increasing d) y = − 3x − x3 , decreasing x < −1 or x > , < x < , x < −1 or x > , x < −2 or x > Created by T Madas Created by T Madas Question Find the range of the values of x , for which f ( x ) is increasing or decreasing a) f ( x ) = x3 − x − x + 10 , increasing b) f ( x ) = − x3 + x − 15 x − 13 , increasing c) f ( x ) = x3 − x − x , decreasing d) f ( x ) = x3 − x , decreasing x < −1 or x > , < x < , − < x < , − < x < 2 Created by T Madas ... of the values of x , for which y is increasing or decreasing a) y = x3 − 3x − 12 x + , increasing b) y = x3 − x + 12 , decreasing c) y = x3 − 3x + , increasing d) y = − 3x − x3 , decreasing x