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  • Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 7 Maths Textbook Solution.

Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 7 Maths Textbook Solution.

Answers (1)

Answer:

The function is decreasing if  b\epsilon (-\infty ,0)

Hint:

If  f(x)  is decreasing, then  f'(x)<0

Given:

                f(x)=b(x+\cos x)+4

Explanation:

It is given that,

                f(x)=b(x+\cos x)+4

\Rightarrow         f'(x)=b(1-\sin x)

Now,    b(1-\sin x)>0  as   f(x)  is decreasing

\Rightarrow         1-\sin x>0   for all values of x

Thus,  f(x)  is decreasing for  b\epsilon (-\infty ,0)

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