Home
Class 12
MATHS
If y= sin[cos^-1 {sin (cos^-1 x)}] then ...

If `y= sin[cos^-1 {sin (cos^-1 x)}]` then `(dy)/(dx)` at `x=1/2` is equal to a)0 b)-1 c)`2/sqrt3` d)1

A

0

B

`-1`

C

`2/sqrt3`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If y= sec^-1 [cosec x]+cosec^-1 [sec x]+sin^-1 [cos x]+ cos ^-1 [sin x] then (dy)/(dx) is equal to a)0 b)2 c)-2 d)-4

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

If y = tan^(-1) ((2x-1)/(1+ x- x^2) ) , then (dy)/(dx) at x = 1 is equal to a) 1/2 b) 2/3 c) 1 d) 3/2

sin 765^(@) is equal to a)1 b)0 c) sqrt(3)//2 d) 1//sqrt2

If cos^-1 (5/13)- sin^-1 (12/13)=cos^-1 x , then x is equal to a)1 b) 1/sqrt2 c)0 d) sqrt3/2

If y = tan^(-1)((cos x)/(1+sin x)) , then (dy)/(dx) is equal to

If 2y =sin^(-1) (x + 5y) , then (dx)/(dy) is equal to

If y=sin^(-1)xandz=cos^(-1)(sqrt(1-x^(2))) , then (dy)/(dz) is equal to

If y=sin^(-1)(cosx)+cos^(-1)(sinx) , then find dy/dx .

If y=sin^(-1)(3x-4x^(3))+cos^(-1)(4x^(3)-3x)+tan^(-1)(E) then (dy)/(dx) is equal to a)5 b)0 c) (2)/(sqrt(1+x^2)) d) (1)/(1-x^(2))