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  • Need solution for rd sharma maths class 12 chapter 16 Increasing and Decreasing functions exercise Multiple choice question, question 21

Need solution for rd sharma maths class 12 chapter 16 Increasing and Decreasing functions exercise Multiple choice question, question 21

Answers (1)

Correct option (c)

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

Given: f(x)=\cos |x|-2 a x+b

Explanation:It is given that

f(x)=\cos |x|-2 a x+b …..(i)

Differentiate (i) w.r.t  x

f^{\prime}(x)=-\sin x+2 a 

\because f(x) is increasing function, {f}'(x)\geq 0

\begin{aligned} &\Rightarrow-\sin x+2 a \geq 0 \\ &\Rightarrow \sin x \geq 2 a \end{aligned} 

\because Minimum value \sin x of is -1

\therefore \frac{-1}{2} \geq a 

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