Let `I RvecI R` be defined as `f(x)=|x|++x^2-1|dot` The total number of points at which `f` attains either a local maximum or a local minimum is_______

Let f:R->R be defined as f(x)=|x|+|x^2-1|dot The total number of points at which f attains either a local maximum or a local minimum is_______

Let f(x)=x^(3) find the point at which f(x) assumes local maximum and local minimum.

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

Let f(x)=sinx-x" on"[0,pi//2] find local maximum and local minimum.

Find the local maximum and local minimumof f(x)=x^(3)-3x in [-2,4].

Let f(x)=x(x-1)^(2), find the point at which f(x) assumes maximum and minimum.

Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and local minimum of f(x)dot

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 ___

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 ___

Let f(x) be a function defined as follows: f(x)=sin(x^2-3x),xlt=0; and 6x+5x^2,x >0 Then at x=0,f(x) (a) has a local maximum (b) has a local minimum (c) is discontinuous (d) none of these