MonotonicityMedium
Question
In which of the following intervals f(x) = 2x3 - 15x2 + 36x + 1 is monotonic decreasing -
Options
A.(-∞, 2)
B.(3, ∞)
C.(0 , 3)
D.(2, 3)
Solution
f(x) = 2x3 - 15x2 + 36x + 1 is monotonic decreasing if f′(x) < 0
6x2 - 30x + 36 < 0
x2 - 5x + 6 < 0
x (2, 3)
6x2 - 30x + 36 < 0
x2 - 5x + 6 < 0
x (2, 3)
Create a free account to view solution
View Solution FreeMore Monotonicity Questions
The value of a for which the function(a + 2)x3 - 3ax2 + 9ax - 1 decreases monotonically for all real x, is-...Function f(x) = x − log x decreasing, when...eax is monotonic decreasing-...If function f(x) = 2x2 + 3x - mlog x is monotonic decreasing in the interval (0, 1) then the least value of the paramete...If f(x) = 2x3 − 9x2 + 12x − 6, then in which interval f(x) is monotonically increasing...