If y = sin^(-1)((sqrtx-1)/(sqrtx+1))+sec...

If `y = sin^(-1)((sqrtx-1)/(sqrtx+1))+sec^(-1)((sqrtx+1)/(sqrtx-1)), x gt 0` then `(dy)/(dx)` =

`pi/2`

`-1`

Verified by Experts

The correct Answer is:

DIFFRENTATION
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos
DIFFRENTATION
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos
DIFFRENTATION
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos
DIFFERENTIATION
AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos
DIRECTION COSINES & RATIOS
AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Given that f(x) is a differentiable function of x and that f(x) ,f(y) ...
Text Solution
|
If y = Tan^(-1)(cot(pi/2-x)) then (dy)/(dx) =
Text Solution
|
If y = sin^(-1)((sqrtx-1)/(sqrtx+1))+sec^(-1)((sqrtx+1)/(sqrtx-1)), x ...
Text Solution
|
d/(dx)(sinh^(-1)(sqrtx)) =
Text Solution
|
If y = Tan^(-1)((cosx)/(1+sinx)) then (dy)/(dx)=
Text Solution
|
d/(dx){Tan^(-1)""(x)/(1+x^2)+Tan^(-1)""(1+x^2)/x} =
Text Solution
|
If sin^(-1)x+sin^(-1)y=pi/2 , then (dy)/(dx) is equal to
Text Solution
|
y = sin^(-1)2x+Tan^(-1)3x + Cos^(-1)2x+Cot^(-1)3x then (dy)/(dx)
Text Solution
|
d/(dx){cos^(-1)x+Sin^(-1)sqrt(1-x^2)}
Text Solution
|
(d)/(dx) {Sin ^(-1) ((3x)/(2) - (x ^(3))/(2))}=
Text Solution
|
d/(dx){cos^(-1)((4x^3)/27-x)}=
Text Solution
|
If y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2))then (dy)/(dx)=
Text Solution
|
d/(dx)(Tan^(-1)""(x)/(sqrt(a^2-x^2))=
Text Solution
|
d/(dx)(Tan^(-1)(sinhx))=
Text Solution
|
If y= Tan^(-1)""(sqrt(1+x^2) -1)/x then (dy)/(dx)=
Text Solution
|
If y = cos ^(-1) (cosx) , then (dy)/(dx) at x = (5pi)/4 is
Text Solution
|
The first derivative of the fuctioncos^(-1)(sinsqrt(1+x)/2)+x^x with ...
Text Solution
|
d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}
Text Solution
|
d/(dx){sec^(-1)""(1)/(sqrt(1-x^2))+cot^(-1)""(sqrt(1-x^2))/x} =
Text Solution
|
d/(dx)[cos^(-1)(xsqrtx-sqrt((1-x)(1-x^2)))] =
Text Solution
|

Similar Questions