Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • please solve rd sharma class 12 chapter 16 Increasing and Decreasing Functions exercise Multiple choice question , question 2 maths textbook solution

please solve rd sharma class 12 chapter 16 Increasing and Decreasing Functions exercise Multiple choice question , question 2 maths textbook solution

Answers (1)

Correct option (c)

Hint: Iff(x)  is increasing function{f}'(x)>0

Given:f(x)=\cot ^{-1} x+x

Explanation: It is given that

\begin{aligned} &f(x)=\cot ^{-1} x+x \\ &f^{\prime}(x)=\frac{-1}{1+x^{2}}+1 \end{aligned}

\because f(x) is increasing function{f}'(x)>0

\begin{aligned} &\Rightarrow \frac{-1}{1+x^{2}}+1>0 \\ &\Rightarrow \frac{x^{2}}{1+x^{2}}>0 \\ &\Rightarrow x \in(-\infty, \infty) \end{aligned}

Thus, the required interval is (-\infty, \infty)

Posted by

Info Expert 29

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question