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Let f(x)=([x]-[-x])|x-1+ where [.] denot...

Let `f(x)=([x]-[-x])|x-1+` where [.] denotes greatest integer functon, value of `Rf'(1)` is equal to

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ALLEN -TEST PAPERS-MATHEMATICS
  1. Graph of y=f(x) is shown in the adjacent figure Value of lim(0^(...

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  2. Graph of y=f(x) is shown in the adjacent figure value of (xto1^(...

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  3. Let f(x)=([x]-[-x])|x-1+ where [.] denotes greatest integer functon, v...

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  4. Let f:RtoR and g:RtoR both differentiable function such that f(1)=1,f'...

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  5. If f(x)=|x-1|+|x-3|,then value of f'(2) is equal to

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  6. Let y=(secx+tanx-1)/(tanx-secx+1).If ((dy)/(dx))(x=(pi)/4)=a+sqrt(b), ...

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  7. Number of point(s) of non-differentiability of function f(x)=(x-1)|x...

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  8. If I=int(sec^(2)x)/(tan^(97(x+tanx))dx=-1/96 ln (1+cot^(lamda)x)+C, wh...

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  9. Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=...

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  10. Let f(x)=sin^(-1)((x+3)/(2x+5)),g(x)=sin^(-1)((ax^(2)+b)/(x+5)). If li...

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  11. Let T(n) and S(n) be the nth term and sum of first n tems of a series ...

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  12. Complete solution of x^(3log(10)^(3)x 2/3log(10)^(x)=root(3)(10^(7)) i...

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  13. If f(x) is a polynomial of degree 5 with leading co-fficient 1 such t...

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  14. Let f(x),g(x),h(x) and R(x) be four functions f(x)=e^({2x}) where {....

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  15. Let f(x),g(x),h(x) and R(x) be four functions f(x)=e^({2x}) where {....

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  16. Let f(x),g(x),h(x) and R(x) be four functions f(x)=e^({2x}) where {....

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  17. Column I : Contains information about f(x) Column II: Contains range...

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  18. Column I : Contains information about f(x) Column II: Contains range...

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  19. Column I : Contains information about f(x) Column II: Contains range...

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  20. If x!=(npi)/2 (where n is an integer) and the vale of (1+cotxcosecx)xx...

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