Home
Class 12
MATHS
If y = sec ( tan^(-1) x) , then ( dy)...

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

A

`1//2`

B

1

C

`sqrt(2)`

D

`1//sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If y="sec"("tan"^(-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

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

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

If y = cot^(-1) ("tan" (x)/(2)) , then (dy)/(dx) is equal to

If y = e ^((1//2) log (1 + tan ^(2) x), ) then (dy)/(dx) is equal to :

If x^(2)+2xy+2y^(2)=1 , then (dy)/(dx) at the point where y=1 is equal to a)1 b)2 c)-1 d)0

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