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  • Need solution for rd sharma maths class 12 chapter 16 Increasing and Decreasing functions exercise Multiple choice question, question 20

Need solution for rd sharma maths class 12 chapter 16 Increasing and Decreasing functions exercise Multiple choice question, question 20

Answers (1)

Correct option (b)

Hint: If f(x)  is increasing function {f}'(x)>0

And decreasing if {f}'(x)>0

Given: f(x)=2|x-1|+3|x-2| in the interval (1,2)

Explanation:It is given that

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

In the interval (1,2) , we can write

|x-1|=x-1 \&|x-2|=-(x-2)

\begin{aligned} \Rightarrow f(x) &=2(x-1)-3(x-2)=x-4 \\ &=-1 \\ \Rightarrow f^{\prime}(x) &=-1 \\ \because f^{\prime}(x) &<0 \end{aligned}

 So, the given function is decreasing.

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