Home
Class 12
MATHS
If y= sin (sin^-1 x + cos^-1 x), x in [-...

If `y= sin (sin^-1 x + cos^-1 x), x in [-1,1]`, then `dy/dx` is:

A

`(pi)/2`

B

`(-pi)/2`

C

0

D

1

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PUNJAB BOARD-MATHEMATICS 2018

    OMEGA PUBLICATION|Exercise SERIES -C|19 Videos

  • PUNJAB BOARD-MATHEMATICS 2018

    OMEGA PUBLICATION|Exercise SERIES -C|19 Videos

  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C|58 Videos

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |20 Videos

Similar Questions

Explore conceptually related problems

Evaluate int (sin^(-1)x + cos^(-1)x) dx

Evaluate int 1/(sin^(-1)x + cos^(-1)x) dx

Knowledge Check

  • [d/dx(sin^-1 x + cos^-1 x)]

    A
    1
    B
    `pi/2`
    C
    0
    D
    x

  • d/dx[sin^(-1)(cos x)] =

    A
    `-sin x`
    B
    -1
    C
    x
    D
    `π/2-x`

    • Similar Questions

    Explore conceptually related problems

    If y = (sin x)^(cos x) find (dy)/(dx) .

    If x= sqrta^(sin^-1t), y = sqrt(a^(cos^-1t)) , show that dy/dx = -y/x , a > 0

    If sin(x y)+cos(x y)=0 , then (dy)/(dx) is

    If (sin x)^y = (cos y)^x , find dy/dx .

    sin^-1 x+ sin^-1 y = sin^-1[x 1-y^2 + y 1- x^2]

    If y= sin (2 sin^-1 x) , prove that: (1 - x^2 ) (d^2y/dx^2) - x(dy/dx) + 4y = 0 .

    Home
    Profile