Home
Class 12
MATHS
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 ___

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let the function f, g, h are defined from the set of real numbers RR to RR such that f(x) = x^2-1, g(x) = sqrt(x^2+1), h(x) = {(0, if x lt 0), (x, if x gt= 0):}. Then h o (f o g)(x) is defined by

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

If the function f defined on R-{0} is a differentiable function and f(x^3)=x^5 for all x, then f'(27)=

The function f :R to R defined by f (x) = e ^(x) is

IF f :R -{2} to R is a function defined by f(x) =(x^(2)-4)/(x-2) , then its range is

For all real values of x, increasing function f(x) is

The number of points at which the function f(x) = 1/(log|x|) is discontinuous are

If a function f (x) is given as f (x) =x ^(2) -3x +2 for all x in R, then f (-1)=