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If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt...

If `f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4))` then the value of 10 `f'(102^(+))`, is

A

-1

B

0

C

1

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. Let f and g be differentiable functions satisfying g(a) = b,g' (a) = ...

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  2. If f(x)=cos^(-1)1/(sqrt(13))(2cosx-3sinx) +sin^(-1)1/(sqrt(13))*(2cos...

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  3. If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f...

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  4. Let y=1n(1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal...

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  5. If f(x)=(a+sqrt(a^2-x^2)+x)/(sqrt(a^2-x^2)+a-x) where a>0 then f'(0) ...

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  6. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=...

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  7. If f(x) =|log(e)|x||, then f'(x) equals

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  8. If f(x) is given by f(x)=(cosx+i sinx)(cos3x+isin3x)......[cos(2n-1)...

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  9. Let f(x)=x^(n) , n being a non-negative integer, The value of n for w...

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  10. If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the grea...

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  11. The functions u=e^(x).sinx and v=e^(x).cosx satisfy the equation

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  12. If f(x)=log(x^(2))(logx),then f '(x)at x= e is

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  13. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

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  14. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

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  15. "If "y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))))," then prove that "(dy)/(...

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  16. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

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  17. Let f(x)=x^2+xg'(1)+g''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then find ...

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  18. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

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  19. If y+log(1+x)=0 which of the following is true?

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  20. If y=2^(3^(x)), then y' equals

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