small increment and approximation

 $y=3x^2\ +2x\ -4$  
Find   $\frac{\text{d}y}{\text{d}x}$  ,

•  $\frac{\text{d}y}{\text{d}x}=3x^2\ +1$  

•  $\frac{\text{d}y}{\text{d}x}=3x^{ }\ +x$  

•  $\frac{\text{d}y}{\text{d}x}=6x^{ }+2$  

•  $\frac{\text{d}y}{\text{d}x}=6x^{ }+2-4$  

 $\delta x$  is

• small changes in y

• small changes in x

• small changes in axis

• big changes in xy

 $y=5x^{6\ }+\ 7x-2$  

 $find\ \frac{dy}{dx}$  

•  $\frac{dy}{dx}=30x^6+7$  

•  $\frac{dy}{dx}=30x^5+7$  

•  $\frac{dy}{dx}=56x^5+7x$  

•  $\frac{dy}{dx}=0$  

 $\delta y$  

• delta y

• delta x

• delta dy

• alpha y

approximation is

• find delta $y$

• find $\partial y$

• find new $y$

• find $\frac{dy}{dx}$

 $y=34x+2$  

 $find\ \frac{dy}{dx}$  

•  $\frac{dy}{dx}=34x$  

•  $\frac{dy}{dx}=34$  

•  $\frac{dy}{dx}=34+2$  

•  $\frac{dy}{dx}=34x^2$  

small increment and ........?

• approtimation

• approxemation

• aproximation

• approximation

The radius of a circle increase from 4cm to 4.002cm.Find  $\delta x$  

• 0.0002

• 0.002

• 0.02

• -0.002

 $y$  New =  $y$  Original +?

•  $\delta y$  

•  $\text{d}y$  

•  $\text{}\frac{dx}{dy}$  

•  $\frac{\delta x}{\delta y}$  

Given  $y$  = $x^3$  , Find  $y$  when  $x=5$  

• 15

• 53

• 125

• 115