Find the values of x, such that f(x)= 2x³ - 15x² + 36x + 1 is an increasing function.
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for increasing function
F'(x) >0
6 x^2 - 30x + 36 >0
x^2 - 5x + 6>0
x^2 -2x -3x +6>0
x( x-2) -3(x-2) >0
(x-3) (x-2)>0
x belongs to(-infinity ,2) ( 3,infinity)
F'(x) >0
6 x^2 - 30x + 36 >0
x^2 - 5x + 6>0
x^2 -2x -3x +6>0
x( x-2) -3(x-2) >0
(x-3) (x-2)>0
x belongs to(-infinity ,2) ( 3,infinity)
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