Q. 145.0( 1 Vote )

Mark the correct A. x < –3

B. |x| > 3

C. x ≤ –3

D. |x| ≥ 3

Answer :

Formula:- (i) 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)= x3– 27x +5


=3x2– 27=f’(x)


for increasing function f’(x)>0


3x2– 27>0


(x+3)(x-3)>0


|x|>3

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