MAXIMUM AND MINIMUM POINT

Find the derivative of  $y=2x^3-6x^2+6$  

•  $5x^2-8x+6$  

•  $6x^2-12x+6$  

•  $5x^2-8x$  

•  $6x^2-12x$  

Find the second derivative  $\frac{\text{d}^2x}{\text{d}y^2}$   of  $y=5x^2-8x$  

•  $10x-8$  

•  $7x-8$  

•  $10$  

•  $7$  

If   $\frac{\text{d}^2x}{\text{d}y^2}>0$  , turning point is a 

• maximum point

• minimum point

• point of inflexion 

 $\frac{\text{d}^2x}{\text{d}y^2}=-12$  , the nature of this function is minimum.

• TRUE

• FALSE

The nature of the point is maximum, if 

•  $\frac{\text{d}^2x}{\text{d}y^2}<0$   

•  $\frac{\text{d}^2x}{\text{d}y2}=0$  

•  $\frac{\text{d}^2x}{\text{d}y^2}>0$  

What is the green dot on the parabola called?

• maximum
• minumum
• roots
• zeros

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2
• maximum: 2
• minimum: 5
• maximum: 5

What is the maximum or minimum point for the curve
 $y=x^2-4$  ?

• minimum at ( 0, -4)

• minimum at ( 0, 4)

• maximum at ( 0, -4)

• maximum at ( 0, 4)