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Let f be a function defined on R (the se...

Let `f` be a function defined on `R` (the set of all real numbers) such that `f^(prime)(x)=2010(x-2009)(x-2010)^2(x-2011)^3(x-2012)^4,` for all `x in Rdot` If `g` is a function defined on `R` with values in the interval `(0,oo)` such that `f(x)=ln(g(x)),` for all `x in R ,` then the number of point is `R` at which `g` has a local maximum is ___

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RESONANCE-APPLICATION OF DERIVATIVES-Exersise-3 Part I
  1. For the function f(x)=xcos(1/x), x>=1

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  2. Let p(x) be a polynormal of degree 4 having extremum at x=1, 2 and ...

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  3. Let f be a function defined on R (the set of all real numbers) such th...

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  4. Let f,g and h be real-valued functions defined on the interval [0,1] b...

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  5. Match th statements given in Column-I with the intervals//union of in...

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  6. The number of distinct real roots of x^4 - 4 x^3 + 12 x^2 + x - 1 = 0...

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  7. Let p(x) be a real polynomial of least degree which has a local maximu...

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  8. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

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

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  10. A rectangular sheet of fixed perimeter with sides having their lengths...

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  11. A vertical line passing through the point (h,0) intersects the ell...

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  12. The function f(x)=2|x|+|x+2|=||x|2|-2|x|| has a local minimum or a loc...

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  13. Let f[0, 1] -> R (the set of all real numbers be a function.Suppose t...

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  14. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  15. line L:y=mx+3 meets y–axis at E(0, 3) and the are of the parabola y^(2...

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  16. Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

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  17. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

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  18. A cylindrica container is to be made from certain solid material with ...

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  19. Let f,g:[-1,2]rarr RR be continuous functions which are twice differen...

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  20. Let f: R to (0 ,oo)" and " g :R to R be twice differentiable function...

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