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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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