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Mark the correct alternative in the following:
The function f(x) = 2log(x – 2) – x2 + 4x + 1 increases on the interval.
Formula:- The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on (a,b) is that f’(x)>0 for all x(a,b)
Given:-
f(x) = 2log(x – 2) – x2 + 4x + 1
f’(x)=
now for increasing
f’(x)>0
3<0 and x-2>0
and x>2