RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 27 of MCQ

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27

Mark the correct alternative in the following:

If the function f(x) = x2 – kx + 5 is increasing on [2, 4], 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) = x2 – kx + 5



For increasing function f’(x)>o


2x-k>0


K<2x


Putting x=2


K<4


kϵ (–∞, 4)

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