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  • Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 11 Maths Textbook Solution.

Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 11 Maths Textbook Solution.

Answers (1)

Answer:

The values of  a  for which the function is decreasing if a\epsilon (-\infty ,0)

Hint:

If f(x)  is decreasing, then  f'(x)<0

Given:

                f(x)=ax+b

Explanation:

It is given that,

                f(x)=ax+b

\Rightarrow         f'(x)=a

Now,   f'(x)<0  as  f(x)  is decreasing

\Rightarrow         a<0

\Rightarrow         a\epsilon (-\infty ,0)

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

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