Home
Class 12
MATHS
If y=sin ^(-1) (xsqrt( 1-x) +sqrt(x) sqr...

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

A

0

B

`1/(sqrt(1-x))`

C

`sin^(-1)sqrt(x)`

D

`1/(sqrt(1-x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If y=tan^(-1)[(x-sqrt(1-x^(2)))/(x+sqrt(1-x^(2)))]," then "(dy)/(dx)=

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

If y=sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))) and 0

If y= sqrt(x-1) +sqrt( x+1) ,then (dy)/(dx)

y = sin^(-1) {(sqrt(1 +x) + sqrt(1 -x))/(2)} " then " (dy)/(dx) = ?

If y= sin ^(-1) ((x)/(1+ sqrt(1- x ^(2)))), |x|le 1, then (dy)/(dx) at ((1)/(2)) is:

If e^(y)=(sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x))," then "(dy)/(dx)=