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  • Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 5 Maths Textbook Solution.

Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 5 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)=a(x+sinx)+a

Explanation:

It is given that,

                f(x)=a(x+sinx)+a

\Rightarrow         f'(x)=a(1+cosx)

Now,     a(1+cosx)>0  as  f(x)  is increasing

\Rightarrow         a>0

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

 

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