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
675 views
in Continuity and Differentiability by (36.2k points)
closed by

If y = sin-1x, show that (1 - x2)\(\frac{d^2y}{dx^2}-x\frac{dy}{dx}=0.\)

1 Answer

+1 vote
by (33.4k points)
selected by
 
Best answer

∵ y = sin-1x

Differentiating with respect to x, we get

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

⇒ \({\sqrt{1-x^2}}\frac{dy}{dx}=1\)

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

...