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
+3 votes
11.3k views
in Mathematics by (73.2k points)

Let ƒ : [0, 2]  R be a twice differentiable function such that ƒ''(x) > 0, for all x  (0, 2). If ϕ (x) = ƒ(x) + ƒ(2 – x), then ϕ is - 

(1)  increasing on (0, 2)

(2)  increasing on (0, 1) and decreasing on (1, 2)

(3)  decreasing on (0, 2)

(4)  decreasing on (0, 1) and increasing on (1, 2) 

1 Answer

+3 votes
by (69.2k points)
edited by
 
Best answer

Correct option (4) decreasing on (0, 1) and increasing on (1, 2)

Explanation:

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.

Categories

...