Home
Class 12
MATHS
If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((...

If `y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx)` is equal to `x+y` (b) `1+x y` `1-x y` (d) `x y-2`

A

` 1+xy `

B

` 1-xy `

C

` x+y`

D

` xy -2 `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If y=(sin^(-1)x)/(sqrt(1-x^(2))), then ((1-x^(2))dy)/(dx) is equal to x+y (b) 1+xy1-xy(d)xy-2

If y=sin^(-1)x+sin^(-1)sqrt(1-x^(2)) , what is (dy)/(dx) equal to?

If y=sin ^(-1)((x)/( sqrt(x^(2) +a^(2)))) ,then (dy)/(dx)=

if y=(sin^(-1)x)/(sqrt(1-x^(2))), prove that (1-x^(2))(dy)/(dx)=xy+1

If y=sin^(-1)x+sin^(-1).sqrt(1-x^(2)) what is (dy)/(dx) equal to ?

If y=sqrt((1-x)/(1+x)) , then (1-x^(2))(dy)/(dx)+y is equal to

If y=(x sin^(-1)x)/(sqrt(1-x^(2))), prove that (1-x^(2))(dy)/(dx)=x+(y)/(x)

If y=(x sin^(-1)x)/(sqrt(1-x^(2))), prove that (1-x^(2))(dy)/(dx)=x+(y)/(x)

If y=x sin^(-1)x+sqrt(1-x^(2)), prove that (dy)/(dx)=sin^(-1)x