RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 20 of MCQ

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20

Mark the correct alternative in the following:

In the interval (1, 2), function f(x) = 2|x – 1|+3 |x – 2| is


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)=2(x-1)+3(2-x)


f(x)=-x+4


f’(x)=-1


Therefore f’(x) <0


Hence decreasing function

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