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17. Increasing and Decreasing Functions
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Q27 of 105 Page 17

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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Questions · 105
17. Increasing and Decreasing Functions
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