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For the function f(x) = x cosx 1/x, x g...

For the function `f(x) = x cosx 1/x, x ge 1`(A) for at least one x in the interval [1, c), f(x +2)-fx) 2 (B) lim f(x)= 1 (C) for all x in the interval [1, co), f(x +2)-f(x)> 2 (D) f (x) is strictly decreasing in the interval [1, co) lim fix )=

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BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Let the function g:(-oo,oo)rarr (-pi //2,pi//2) be given by g(u) = 2 t...

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  2. Let f(x) be a non-constant twice differentiable function defined on (...

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  3. For the function f(x) = x cosx 1/x, x ge 1(A) for at least one x in t...

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  4. Let f be a real-valued function defined on interval (0,oo),by f(x)=lnx...

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  5. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

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  6. Consider the statements : P : There exists some x IR such that f(x)...

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  7. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is 6 (b)...

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  8. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

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  9. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

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  10. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

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  11. If f(x)={x^2,xlt=0 2sinx ,x >0'in v e s t iga t et h e function at x=...

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  12. The function y=(a x+b)/((x-1)(x-4)) has turning point at P(2,1)dot The...

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  13. Find the points of maxima and minima of the function. f(x)=12 x^5-4...

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  14. Discuss the extremum of f(x)=x^2+1/(x^2)

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  15. The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N, has a local minimum...

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  16. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

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  17. f(x)={cos(pix)/2,x >0x+a ,xlt=0 Find the values of a if x=0 is a poin...

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  18. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

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  19. Leg f(x) be a cubic polynomial which has local maximum at x=-1a n df(x...

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  20. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

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