LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
304 views
in Continuity and Differentiability by (37.2k points)
closed by

If y = cosec-1 x,x>1,then show that x(x2-1)\(\frac{d^2y}{dx^2}\) + (2x2-1)\(\frac{dy}{dx}=\)0

1 Answer

+1 vote
by (34.6k points)
selected by
 
Best answer

∵  y = cosec-1x

Differentiating with respect to x, we get

∴ \(\frac{dy}{dx}=\frac{-1}{x\sqrt{x^2-1}}\)

Again differentiating with respect to x, we get

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

...