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"If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-...

`"If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4),` then the value of `f'''(1)+f''(2)+f'(3)+f'(4)` equals

A

`0`

B

`1`

C

`2`

D

`6`

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ALLEN -TEST PAPERS-MATHEMATICS
  1. Which of the following specie is existing?

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  2. If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of i...

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  3. "If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4), then the value of f'''(1)+...

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  4. If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2), then (dy)/(dx) is equal ...

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  5. f:RtoR such that f(2)=5 and f'(2)=10 thenlim(xto0) ((f(2+x))/(f(2)))^(...

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  6. If f(x)=((x+1)^(7)sqrt(1+x^(2)))/((x^(2)-x+1)^(6)) then the valueof f'...

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  7. The value of lim(xto0^(+))(x^(x)+(tanx)^(cosecx)+(cosecx)^(tanx)) is...

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  8. f:RtoR is defined as f(x)=x^(3)+2x^(2)+7x+cos(pix) and g be the invers...

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  9. y=sinx+e^(x) then (d^(2)x)/(dy^(2)) is:

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  10. Let f(x) be a cubic polynomical such that f'(x)=0 at x=1 and x=3, f(1)...

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  11. lim(xto oo)(ln(x^(2)+5x)-2ln(cx+1)=-2 then

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  12. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

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  13. If quadratic equation (1+m)x^(2)-2(1+3m)x-2(1+m)=0 has one root greate...

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  14. The quadratic polynomial p(x) has the following properties: p(x)geq0 f...

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  15. Number of points on [0,2] where f(x)={(x{x}+1,(0lexlt1),(2-{x},1lex...

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  16. Let sin theta-cos theta=1 then the value of sin^(3) theta-cos^(3)theta...

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  17. Domain off(x)=log(x^2+5x+6)/([x]-1)where [.] denotes greatest integer ...

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  18. Let f:RtoR f(x)=x+3x^(3)+5x^(5)+………..+1001x^(1001) then which of fol...

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  19. The sum sum(n=1)^oo tan^(-1)(3/(n^2+n-1)) is equal to

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  20. Let f(x)={(cos[x],xge0),(|x|+a,xlt0):} (where [.] denotes greatest i...

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