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  • Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 8 Maths Textbook Solution.

Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 8 Maths Textbook Solution.

Answers (1)

Answer:

The function is increasing if a\epsilon (0,\infty )

Hint:

If  f(x)  is increasing, then  f'(x)>0

Given:

                f(x)=x+\cos x+ax+b

Explanation:

It is given that,

                f(x)=x+\cos x+ax+b

\Rightarrow         f'(x)=1-\sin x+a

\Rightarrow         f'(x)=(1+a)-\sin x

Now,   (1+a)-\sin x>0  as   f(x)  is increasing

\Rightarrow         (1+a)>\sin x

\Rightarrow         a>\sin x-1>0

Thus,  f(x)  is increasing for  a\epsilon (0,\infty )

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