Maxima and Minima

Find the absolute maximum and absolut minimum values of f ( x ) = x^3 in [ -2 , 2 ]

• no maximum no minimum value

• 8 , - 8 

• 2, - 2

• 8 , 0

Find local maximum and local minimum values of the function f ( x) = x^3-3x

• -1 , 1

• 2 , -2

• 2 , -1 

• 1 , 0 

When is this function increasing?

• -3<x<3

• -2.5<x<2.5

• x>2.5

• x>3

• 126

• 0

• 135

• 160

Let f have second derivative at c such that f ' ( c ) = 0 and f " (c) > 0, then c is a point of ____________

If \(f\left(x\right)=\frac{1}{4x^2+2x+1},\) then its maximum value is _____

• 3/4

• 4/3

• 1

• none of these

The maximum value of \sin x.\cos x is

• 1/4

• 1/2

If x + y = 8, then the maximum value of xy is ________

• 8, -10

• 4, - 2

• 0, 3

• 3, 6

The sum of two non-zero numbers is 8, the minimum value of the sum of their reciprocals is

• 1/4

• 1/2

• 1/8

• none of these