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+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

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 equal to:

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^2-4)^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)=int_(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local minimum at x= 0 (b) 1 (c) 2 (d) 3

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 all a and all b (b) all b if a=0 all b >0 (d) all a >0

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

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