Home
Class 11
MATHS
If f(x) = sqrt(x + 2sqrt(2x - 4)) + sqrt...

If `f(x) = sqrt(x + 2sqrt(2x - 4)) + sqrt(x - 2sqrt(2x - 4))`, then `f'(3) = f'(6) `=

A

0

B

`1`

C

`2`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|13 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(LINKED COMPREHENSION TYPE QUESTIONS)|11 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = (sqrt(x - 2 sqrt(x - 1)))/(sqrt(x - 1) - 1)x , then

If f(x)=(1)/(sqrt(x+2sqrt(2x-4)))+(1)/(sqrt(x-2sqrt(2x-4))) for x gt 2 then f(11)=

Find the domains fo the following real valued functions: (i) f(x) = sqrt(4x-x^(2)) (ii) f(x) =sqrt(2-x) + sqrt(1+x) (iii) f(x) = (sqrt(3+x) + sqrt(3-x))/x (iv) f(x) = sqrt(|x|-x) , (v) f(x) = sqrt(x-|x|) (vi) f(x) = sqrt(|x|-x)

If int ( 2dx)/(sqrt(cot^2x - tan^2 x) ) = - sqrt(f(x) ) + c , then f(x) =

For x gt 2, then equation sqrt(x + 2) - sqrt(x - 2) = sqrt(4x - 2) has

If g(x) =1+sqrt(x) and f(g(x)) =3+2sqrt(x)+x , then f(x)=

Find the domain of the following real valued functions: (i) f(x) =1/sqrt(x^(2)-a^(2)) (a gt 0) (ii) f(x) =1/sqrt(1-x^(2)) (iii) f(x) = sqrt(x^(2)-1) + 1/sqrt((x^(2)-3x+2)) (iv) f(x) = 1/sqrt(|x|+x) (v) f(x) = 1/(log(2-x))