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Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),...

Let `f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):}` then number of points (where f(x)attains its minimum value) is

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1...

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  2. Let f(x) be a cubic polynomial which has local maximum at x=-1 \ and \...

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  3. Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):} then number o...

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  4. If alpha is an integer satisfying |alpha|lt=4-|[x]|, where x is a r...

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  5. The function f(x)=sin^4x+cos^4x increasing if :

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  6. If f(x)=x/(sinx) and g(x)=x/("tan"x), where 0ltxle1, then in this inte...

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  7. If f(x)=x^(3/2)(3x-10),xgeq0, then f(x) is increasing in .

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  8. For 0ltaltx , the minimum value of function loga"" x+logx a is 2.

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  9. If x-r is a factor of the polynomial f(x)=a0x^n+a1x^(n-1)+.....+an rep...

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  10. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...

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  11. AB is a diameter of a circle and 'C' is any point on the circumference...

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  12. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

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  13. The function f(x)=(ln(pi+x))/(ln(e+x)) is

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  14. Which of the following function/functions has/have point of inflection...

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  15. The function f(x)=x^2+lambda/x has a (a)minimum at x=2iflambda=16 ...

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  16. Which of the following is true about point of extremum x=a of function...

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  17. Which of the following function has point of extremum at x=0? (a) f(...

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  18. Which of the following hold(s) good for the function f(x)=2x-3x^(2/3) ...

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  19. For the function f(x)=(e^x)/(1+e^x), which of the following hold good...

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  20. The global maximum value of f(x)=(log)(10)(4x^3-12 x^2+11 x-3),x in [2...

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