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The number of points in (-oo,oo) for whi...

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

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The set of all real numbers x for which x^2-|x+2|+x >0 is (-oo,-2) b. (-oo,-sqrt(2))uu(sqrt(2),oo) c. (-oo,-1)uu(1,oo) d. (sqrt(2),oo)

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The value of int_0^oo (dx)/(1+x^4) is

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Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /_CBA (pi)/(2) . Then the range of ordinate of C is (a) (-oo,0)uu (4,oo) (b) (-oo,0] uu[4,oo) (c) [0,4] (d) (-oo,0)uu [4,oo)

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let f(x)=(x-1)^4(x-2)^n ,n in Ndot Then f(x) has (a) a maximum at x=1...

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  2. Let f(x)=sinx+a x+bdot Then which of the following is/are true? (a) f...

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

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  4. The function f:[0,3]->[1,29], defined by f(x)=2x^3−15x^2+36x+1, is (a...

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  5. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

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  6. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

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  7. If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}

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  8. Let f and g be increasing and decreasing functions, respectively, fro...

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  9. If f(x)=int0^x(sint)/t dt ,x >0, then

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  10. The values of parameter a for which the point of minimum of the functi...

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  11. Let f(x)=a x^2-b|x|, where aa n db are constants. Then at x=0,f(x) ha...

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  12. The function y=(2x-1)/(x-2),(x!=2) (a)is its own inverse (b)decrea...

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  13. Let f'(x)gt0 and g'(x)lt0 for all x in R, then

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  14. If f(x)=x^3-x^2+100x+2002 ,t h e n a) f(1000)>f(1001) b) f(1/(2000...

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  15. If f^(prime)(x)=g(x)(x-a)^2,w h e r eg(a)!=0,a n dg is continuous at x...

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  16. The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/...

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  17. Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local max...

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  18. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

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  19. Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

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  20. Find the number of solutions of the equation x^3+2x^2+5x+2cosx=0 in [0...

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