The function `f(x)=x/2+2/x` has a local minimum at (a) `x=2` (b) `x=-2` (c)`x=0` (d) `x=1`

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

The function f(x)=x(x+4)e^(-x//2) has its local maxima at x=adot Then (a) a=2sqrt(2) (b) a=1-sqrt(3) (c) a=-1+sqrt(3) (d) a=-4

The function f(x)=2|x|+|x+2|=||x|2|-2|x|| has a local minimum or a local maximum at x= -2 (b) -2/3 (c) 2 (d) 2/3

The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N , has a local minimum at x=pi/6 . Then (a) n is any even number (b) n is an odd number (c) n is odd prime number (d) n is any natural number

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)=x^(3)-ax has a local minimum at x=k , where k ge 2, then a possible value of a is

The function f(x)=(x^2-4)^n(x^2-x+1),n in N , assumes a local minimum value at x=2. Then find the possible values of n

The function f(x)=(x^2-4)^n(x^2-x+1),n in N , assumes a local minimum value at x=2. Then find the possible values of n

A differentiable function f(x) has a relative minimum at x=0. Then the function f=f(x)+a x+b has a relative minimum at x=0 for (a)all a and all b (b) all b if a=0 (c)all b >0 (d) all a >0

The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum respectively at x =