Let `f(x)={{:((2x-4), x<=2), (-x^(2)+(k^(3)(k-1)^(2))/(k^2-k-2)+4),(x>2):}`, `f(x)` attains local maximum at `x=2,` if `k` lies in

Let f(x)={1x-2l+a^(2)-9a-9 if x =2 if f(x) has local minimum at x=2, then

let f(x)=(x^(2)-1)^(n)(x^(2)+x-1) then f(x) has local minimum at x=1 when

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

Let f(x)={(sin(pi x))/(2),0 =1f(x) has local maxima at x=1f(x) has local minima at x=1f(x) does not have any local extrema at x=1f(x) has a global minima at x=1

Let f(x) {(|x-2| +a",","if" x le 2),(4x^(2) + 3x +1",","if" x gt 2):} . If f(x) has a local minimum at x=2, then

Let f(x)={(1+sin(x), if x lt 0), (x^2-x+1, if x >= 0):}, then: (a) f has local maximum at x=0, (b). f has local minimum at x=0, (c) f is increasing everywhere, (d) f is decreasing everywhere.

Let f(x) be a function defined as follows: f(x)=sin(x^(2)-3x),x 0 Then at x=0,f(x) has a local maximum has a local minimum is discontinuous (d) none of these

The local maximum of y=x^3-3x^2+5 is attained at

If f(x)=|x-2|-|x-4|, then f(x)=k has

consider f(X) =(1)/(1+|x|)+(1)/(1+|x-1|) Let x_(1) and x_(2) be point wher f(x) attains local minmum and global maximum respectively .If k=f(x_(1))+f(x_(2)) then 6k-9=________.