Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+2 votes
22.2k views
in Sets, relations and functions by (53.1k points)

The domain of the derivative of the function f(x) = {tan-1x, |x| ≤ 1,1/2(|x|-1),|x| > 1

(A)   R − {0} 

(B)   R − {1} 

(C)   R − {-1}

(D)  R −{- 1,1}

1 Answer

+2 votes
by (53.3k points)
selected by
 
Best answer

Correct option  (c)  R − {-1}

Explanation :

We have

Therefore, f ′(-1) does not exist and therefore, the domain of f'(x) is R - {-1}.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...