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  • Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 13 Maths Textbook Solution.

Please solve RD Sharma class 12 chapter 16 Increasing and Decreasing Function Excercise Very Short Answer type Question 13 Maths Textbook Solution.

Answers (1)

Answer:

The function f(x)  is increasing in its domain.

Hint:

f(x)  is increasing, if  f'(x)>0

f(x)  is decreasing, if  f'(x)<0

Given:

                f(x)=\tan x-x

Explanation:

It is given that,

                f(x)=\tan x-x                                                                                                                                            

Differentiate equation (i) with respect to x

\Rightarrow         f'(x)=\sec ^{2}x-1

\because           \sec ^{2}x-1>0  for all  x

\therefore           f(x) is an increasing function.

Thus, the given function is increasing in its domain.

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