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

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

A

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

B

`xsqrt(1+x^(2))`

C

`sqrt(1+x^(2))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If y^(x)=2^(x) , then (dy)/(dx) is equal to

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

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

If y=(cosx)^(2x) , then (dy)/(dx) is equal to

If y^(2)=100"tan"^(-1)x+45"sec"^(-1)x+100"cot"^(-1)x+45"cosec"^(-1)x , then (dy)/(dx) is equal to

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

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 :