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
162 views
in Differentiation by (40.3k points)
closed by

If y =  \(\cfrac{sin^{-1}\text x}{\sqrt{1-\text x^2}},\) show that (1 - x2) \(\cfrac{d^2y}{d\text x^2}\)- 3x\(\cfrac{dy}{d\text x}\) - y= 0.

sin-1 x/√(1 - x2), d2y/dx2 - 3x (dy)/dx

1 Answer

+1 vote
by (38.4k points)
selected by
 
Best answer

\(\sqrt{1-\text x^2}y\) = sin-1x

Differentiating with respect to x

Hence Proved

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

...