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 ___

AI Generated Solution

Similar Questions

Explore conceptually related problems

Let f be a differentiable function defined for all x in R such that f(x^(3))=x^(5) fol all x in R,xne0 . Then the value of f'(8) , is

Let f be a function defined for all x in R. If f is differentiable and f(x^(3))=x^(5) for all x in R(x!=0), then the value of f'(27) is-

Let g(x) =f(x)-2{f(x)}^2+9{f(x)}^3 for all x in R Then

If R denotes the set of all real numbers, then the function f : R to R defined by f (x) =[x] is

Let R be the set of all real numbers. The function f:Rrarr R defined by f(x)=x^(3)-3x^(2)+6x-5 is

Let f:R rarr R be the function defined by f(x)=4x-3 for all x in R. Then write f^(-1) .