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
+1 vote
1.8k views
in Limit, continuity and differentiability by (52.5k points)

f(x) = [(1 - x, (0 ≤ x ≤ 1)), (x + 2, (1 < x < 2)), (4 - x, (2 ≤ x ≤ 4)) Discuss the continuity & differentiability of y = f [f(x)] for 0  x  4.

1 Answer

+1 vote
by (54.8k points)
selected by
 
Best answer

 f(x) is continuous at x = 1 & discunt.

at x = 2, 3 & non diff. at x = 1, 2, 3  

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.

...