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  • Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 9 Maths Textbook Solution.

Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 9 Maths Textbook Solution.

Answers (1)

Answer:

The function is increasing if  k\epsilon (1,\infty )

Hint:

If  f(x)  is increasing, then f'(x)>0

Given:

                f(x)=kx-\sin x

Explanation:

It is given that,

                f(x)=kx-\sin x

\Rightarrow         f'(x)=k-\cos x

Now,   k-\cos x>0   as  f(x)  is increasing

\Rightarrow         k>\cos x

\Rightarrow         k\epsilon (1,\infty )

Thus,  f(x)  is increasing if  k\epsilon (1,\infty )

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