Existence of the Derivative Part 1

Existence of the Derivative Part 1

Please complete the following activity! Find the notes packet to the right to copy down your notes!

Multiple Select

Select all of the places that the derivative DOES NOT EXIST!

• Cusp

• Corner Point

• Horizontal Tangent Line

• Discontinuity

• Vertical Tangent Line

Multiple Choice

TRUE OR FALSE?
The derivative exists at  $x=0$  

• TRUE

• FALSE

Multiple Select

Select ALL of the following x-values where the derivative DOES NOT EXIST. 

•  $x=-1$  
  

•  $x=0$  
  

•  $x=1$  

•  $x=2$  

Multiple Choice

TRUE OR FALSE?
The derivative exists at  $x=0$  

• TRUE

• FALSE

Open Ended

Explain why the derivative at  $x=0$  does not exist. 

Fill in the Blank

State the x-value(s) where the derivative does not exist!

Fill in the Blank

State the x-value(s) where the derivative does not exist!

Open Ended

Explain why the derivative at  $x=3$  does not exist.