Derivative Review:

Find the derivate of f(x)=sin(x)

• sin(x)

• $\sin^2\left(x\right)$

• cos(x)

• -sin(x)

• -cos(x)

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)

What is the derivative of

 $f\left(x\right)=2x^2-4x+2$  

•  $2x^2-4x+2$  

•  $4x-4$  

•  $2x-2$  

•  $4x^2-2$  

•  $4x$  

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

•  $\left(2x^2+1\right)\cdot4x$  

Find the derivative of

 $\frac{1}{x}$  

•  $\frac{1}{x}$  

•  $-\frac{1}{x}$  

•  $x^{-1}$  

•  $-\frac{1}{x^2}$  

•  $-\frac{x}{1}$  

Use the Chain Rule to find the derivative of y= $f\left(x\right)=\left(3x^4-2\right)^2$  

•  $2\left(3x^4-2\right)^2\cdot12x^3$  
  

•  $2\left(2x^2+1\right)\cdot4x$  

•  $2\left(3x^4-2\right)^2$  
  

•  $12x^3$  
  

• 3x-2

What is the derivative of this function?

• x

• 1

• y=x

• Not enough information

 $f\left(x\right)=3x^4+x^{-1}-3$  

What is the derivative of

• 12x-x

•  $3x^4-x^2$  

•  $12x-x^2$  

•  $12x^3-x^{-2}$  

•  $12x^3+x^{-2}$  

 $y=x^4-3x^3+2x^2-6x+12$  

Find the derivative of

•  $4x^3-9x^2+4x-6$  

•  $4x^3-9x^2+4x+6$  

•  $12x^4-9x^3+4x^2-6x$  

•  $4x-9x+4x-6$