Q. 265.0( 1 Vote )

Mark the correct A. increases on [0, a]

B. decreases on [0, a]

C. increases on [–a, 0]

D. decreases on [a, 2a]

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)


ϕ(x) = f(x) + f(2a – x)


ϕ(x) = f’(x)-f’(2a – x)


ϕ’’(x) = f’’(x) + f’’(2a – x)


checking the condition


ϕ(x) is decreasing in [0,a]

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