RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 21 of MCQ

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21

Mark the correct alternative in the following:

If the function f(x) = cos|x| – 2ax + b increases along the entire number scale, then


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) = cos|x| – 2ax + b



For increasing f’(x)>0


-sinx-2a>0


2a<-sinx



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