Q. 155.0( 1 Vote )

Mark the correct A. x < 2

B. x > 2

C. x > 3

D. 1 < x < 2

Answer :

Formula:- (i) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly decreasing on (a, b) is that f’(x)<0 for all x(a,b)


Given:-


f(x) = 2x3 – 9x2 + 12x + 29


f’(x)=6(x-1)(x-2)


for decreasing function f’(x)<0


f’(x)<0


6(x-1)(x-2)<0


1<x<2

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