RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 4 of MCQ

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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)


f(x) = 2log(x – 2) – x2 + 4x + 1


now for increasing


3<0 and x-2>0

and x>2

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