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If f(x)=|x-25| and g(x)=f(f(x)) then for...

If `f(x)=|x-25|` and g(x)=f(f(x)) then for `xgt50`, `g'(x)` is equal to

A

0

B

1

C

25

D

None of these

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The correct Answer is:
B
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(nrarrinfty)(n^ksin^2n!)/(n+1)=0 for

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  2. If f(x)=sin(2pi[pi^2x])/(5+[x^2]) denotes the greatest integer functio...

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  3. If f(x)=|x-25| and g(x)=f(f(x)) then for xgt50, g'(x) is equal to

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  4. Let f(x)=[tan^2x], where [.]denotes the greatest integer function. The...

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  5. If f(x+y)=f(x). f(y) for all x and y and f(5)=2, f'(0)=4, then f '(5) ...

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  6. if f(x)=[sqrt2sinx], where [x] denotes the greatest integer function, ...

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  7. f(x)=[x]+|x-1| then f(x), where [.] denotes greatest integer function)...

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  8. If f(x)={(-x, x le 1),(3+x, x gt1):}, g(x)= {(x^2, x le 1),(2-x,x gt 1...

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  9. If {x} denotes the fractional part of x, then lim(xrarr0)(e^{x}-1)/x i...

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  10. Consider f(x)={(x^2/|x|, x ne 0),(0, x=0):}

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  11. Value of lim(x rarr 3)(sin(e^(x-3) -1))/log(x-2) is

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  12. lim(x rarr 1) x^(1//1-x) is

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  13. lim(x rarr 0) ((1+tan x)/(1-tan x))^(1/x) is

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  14. The value of lim(x rarr 0) (int0^(x^2)sec^2tdt)/(x sinx) is :

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  15. The value of lim(x rarr 0) |cosx + sinx|/x^2 is equal to

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  16. lim(x rarr infty)(root(2)(x^2 + 1)-root(3)(x^2 + 1))/(root(4)(x^2 + 1)...

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  17. The value of a, b and c such that lim(x rarr 0) (ae^x -b cosx + ce^(...

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  18. Let f(x) = lim(n rarr infty)(sinx)^(2n), then f is

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  19. The set of all points where the function f(x)= x/(1+|x|) is differenti...

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  20. Let f(x) = (x(1+a cosx) - b sinx)/x^2, x ne 0 and f(0) = 1

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