The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x equal to:

The function f(x)=sqrt((a x^3+b x^2+c x+d)) has its non-zero local minimum and local maximum values at x=-2 and x = 2 , respectively. It 'a is a root of x^2-x-6=0

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

The function f(x)=x^(2) has ……………… .

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)=(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

The function f(x)=x^2+lambda/x has a (a)minimum at x=2iflambda=16 (b)maximum at x=2iflambda=16 (c)maximum for no real value of lambda (d)point of inflection at x=1iflambda=-1

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

Let the function f(x be defined as follows: f(x)={x^3+x^2-10 x ,-1lt=x<0cosx ,0lt=x

Consider the function f:(-oo,oo)vec(-oo,oo) defined by f(x)=(x^2+a)/(x^2+a),a >0, which of the following is not true? maximum value of f is not attained even though f is bounded. f(x) is increasing on (0,oo) and has minimum at ,=0 f(x) is decreasing on (-oo,0) and has minimum at x=0. f(x) is increasing on (-oo,oo) and has neither a local maximum nor a local minimum at x=0.

Let f(x)={(|x|,for 0 (a) a local maximum (b) no local maximum (c) a local minimum (d) no extremum