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
0 votes
151 views
in Differentiation by (38.4k points)
closed by

If y = sec-1\(\left(\cfrac{\text x+1}{\text x-1}\right)\) + sin-1\(\left(\cfrac{\text x-1}{\text x+1}\right),\) show that dy/dx = 0

sec-1(x + 1)/(x - 1) + sin-1(x - 1)/(x + 1)

1 Answer

+1 vote
by (40.3k points)
selected by
 
Best answer

Given: Value of y = sec-1\(\left(\cfrac{\text x+1}{\text x-1}\right)\) + sin-1\(\left(\cfrac{\text x-1}{\text x+1}\right),\)

sec-1(x + 1)/(x - 1) + sin-1(x - 1)/(x + 1)

To Prove: dy/dx = 0

The formula used: (i) cos θ  = sin\(\left(\cfrac\pi2-\theta\right)\) 

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

...