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
1.5k views
in Differentiation by (30.0k points)
closed by

If y = sin-1(sin x), -\(\cfrac{\pi}2\) ≤ x ≤ \(\cfrac{\pi}2\). Then write the value of \(\cfrac{dy}{d\mathrm x} \) for x ∈ (-\(\cfrac{\pi}2\), \(\cfrac{\pi}2\)).

1 Answer

+2 votes
by (28.8k points)
selected by
 
Best answer

For x ∈ \((-\cfrac{\pi}2,\cfrac{\pi}2),\)

y = sin-1(sin x)

= x

So, \(\cfrac{dy}{d\mathrm x} \) = 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.

Categories

...