calc review 12/16

What is the derivative of

 $e^x$  ?

•  $e^x$  

•  $\ln e^x$  

•  $\frac{1}{e^x}$  

•  $\sqrt{\ln x}$  

•  $xe^x$  

What is the derivative of y=tan(x)

• -tan(x)

• $\tan^2\left(x\right)$

• $\frac{\sin\left(x\right)}{\cos\left(x\right)}$

• $\sec^2\left(x\right)$

• -csc(x)

Use the Chain Rule to find the derivative of y= $\left(2x+1\right)^2$  

• 
  

   $\left(2x+1\right)^2$  

•  $2\left(2x^2+1\right)\cdot4x$  

• 2

• 4x+4

•  $\left(2x^2+1\right)\cdot4x$  

What is the derivative of this function?

• x

• 1

• y=x

• Not enough information

What is dy/dx? 

 $y^3=6x$  

•  $\frac{2}{y^2}$  

•  $\frac{3}{y^3}$  

•  $3y^2$  

•  $\frac{2x}{y^2}$