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  • Need solution for rd sharma maths class 12 chapter 16 Increasing and Decreasing functions exercise Multiple choice question, question 27

Need solution for rd sharma maths class 12 chapter 16 Increasing and Decreasing functions exercise Multiple choice question, question 27

Answers (1)

Correct option (b)            

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

Given:f(x)=x^{2}-k x+5

Explanation:It is given that

f(x)=x^{2}-k x+5 …..(i)

Differentiate (i) w.r.t  x

{f}'(x)=2x-k 

\because f(x) is increasing,{f}'(x)>0

\begin{aligned} &\Rightarrow 2 x-k>0 \\ &\Rightarrow 2 x>k \\ &\because x \in[2,4] \end{aligned} 

So, Maximum value of k is 4

k \in(-\infty, 4) 

Thus if the function is increasing then k \in(-\infty, 4)

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