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  • Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 6 Maths Textbook Solution.

Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 6 Maths Textbook Solution.

Answers (1)

Answer:

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

Hint:          

If f(x) is increasing, then f'(x)>0

Given:

                f(x)=\sin x-ax+4

Explanation:

It is given that,

                f(x)=\sin x-ax+4

\Rightarrow         f'(x)=\cos x-a

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

\Rightarrow         \cos x>a

For a\epsilon (-\infty ,-1),  \cos x>0

Thus, f(x)  is increasing for  a\epsilon (-\infty ,-1)

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