Leg `f(x)=x^4-4x^3+6x^2-4x+1.` Then, `f` increase on `[1,oo]` `f` decreases on `[1,oo]` `f` has a minimum at `x=1` `f` has neither maximum nor minimum

Let f(x)=x^(3)+3x^(2)-9x+2. Then,f(x) has a maximum at x=1 (b) a minimum at x=1( c) neither a maximum nor a minimum at x=-3(d) none of these

If f(x)=|x|+|x-1|+|x-2| then which one of the following is not correct? (A) f(x) has a minimum at x=1 (B) f(x) has a minimum at x=0 (C) f(x) has neither a maximum nor a minimum at x=0 (D) f(x) has neither a maximum nor a minimum at x=2

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.

L e tf(x)=x^3-x^2+12 x-3x=2,f(x)h a s 2ans1. Let f(x)=x-x+12x-3 thenx=2, f(x) has1) a maximum 2) a minimum3) both a maximum and a minimum4 neither a maximum nor a minimum

At x=-1 ,the function f(x)=2x^(3)-3x^(2)-12x+12 is O maximum O minimum O neither maximum nor minimum O increasing

If f(x)=2x+cot^(-1)x+log(sqrt(1+x^(2))-x) then f(x)( a)increase in (0,oo)( b)decrease in [0,oo]( c)neither increases nor decreases in [0,oo]( d) increase in (-oo,oo)

Let f(x)=|x^(2)-3x-4|,-1<=x<=4 Then f(x) is monotonically increasing in [-1,(3)/(2)]f(x) monotonically decreasing in ((3)/(2),4) the maximum value of f(x) is (25)/(4) the minimum value of f(x) is 0

For what values of x, the function f(x) = x^(5)-5x^(4)+5x(3)-1 is maximum or minimum? Prove that at x = 0, the function is neither maximum nor minimum.