The function f(x)= `x/2`+ `2/x` ​ has a local minimum at

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

If the function f(x)=ax e^(-bx) has a local maximum at the point (2,10), then

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

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

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

If f(x) = ∫et^2(t - 2)(t - 3)dt for t ∈ [0, x] for x ∈ (0, ∞), then (A) f has a local maximum at x = 2 (B) f is decreasing on (2, 3) (C) there exists some c∈(0, ∞) such that f′′(c) = 0 (D) f has a local minimum at x = 3.

The function f(x)=|x^2-2|/|x^2-4| has, (a) no point of local maxima (b) no point of local minima (c) exactly one point of local minima (d) exactly one point of local maxima

STATEMENT-1: f(x)=|x-1|+|x+2|+|x-3| has a local minima . and STATEMENT-2 : Any differentiable function f(x) may have a local maxima or minima if f'(x)=0 at some points