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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4

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)


Given:-


f(x) = 2log(x – 2) – x2 + 4x + 1



f’(x)=


now for increasing


f’(x)>0



3<0 and x-2>0


and x>2


Chapter Exercises

Exercise 17.1
Exercise 17.2
MCQ

More Exercise Questions

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3

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4

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The function f(x) = 2log(x – 2) – x2 + 4x + 1 increases on the interval.
5

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6

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8

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9

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11

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12

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14

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15

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16

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21

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22

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23

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24

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25

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28

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29

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30

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