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

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

Answers (1)

Answer:

The interval in which the function increasing is  \left [ 0,\frac{\pi }{4} \right ]

Hint:

If  f(x) is increasing, then  f'(x)>0

Given:

                f(x)=\sin x+\cos x

Explanation:

It is given that,

                f(x)=\sin x+\cos x

\Rightarrow         f'(x)=\cos x-\sin x

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

\Rightarrow         \cos x>\sin x

\Rightarrow         \tan x<1

\therefore           x\epsilon \left [ 0,\frac{\pi }{4} \right ]

The interval in which the function increasing is  \left [ 0,\frac{\pi }{4} \right ]

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