Home
Class 12
MATHS
If y = (tan x)^((tan x )^((tan x )^((tan...

If `y = (tan x)^((tan x )^((tan x )^((tan x)......oo` , then prove that `dy/dx = 2` at `x = pi/4`

A

` 1`

B

`sqrt2`

C

`-2`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If y=sqrt(tan x+sqrt(tan x +sqrt(tan x+....oo))) " then prove that " dy/dx = sec^2 x /(2y-1).

If y = (tan x)^(cot x) " then " (dy)/(dx)= ?

"If "y=(tan x)^((tan x)^(tan x))," then find "(dy)/(dx).

If y = (tan x)^(x) , then (dy)/(dx) =

If y= (tan x )^(sin x ) ,then (dy)/(dx)=

If y=(cos x)^((cosx)^((cos x )...oo)) then prove that dy/dx=(y^2 tan x)/(y log (cosx)-1).

If y=x^(tan x)+(tan x)^(x) , then find (dy)/(dx)

If y=log sqrt((1-tan x)/(1+tan x)), prove that (dy)/(dx)=sec2x

If y=sqrt(tan x+sqrt(tan x+sqrt(tan x+...+oo))) then prove that (2y-1)(dy)/(dx)-sec^(2)x=0

If y = tan x tan 2x tan 3x, then (dy)/(dx) equals