Definition of the Derivative Part 2 Notes

Definition of the Derivative Part 2 Notes

Directions: Use this Quizizz to watch a video, take notes, and practice some more on derivatives!

Directions for Activity

Using the worksheet in OneNote answer each of the following questions. When typing your answers, use NO SPACES!

Fill in the Blanks

#1: Find an equation that is tangent to the graph of f and parallel to the given line. (When you type your answer use NO SPACES)

 $f\left(x\right)=-\frac{1}{4}x^2$     parallel to      $x+y=0$  

Multiple Select

#2: Find an equation that is tangent to the graph of f and parallel to the given line. (SELECT ALL THAT APPLY)

 $f\left(x\right)=-\frac{1}{2}x^3$     parallel to      $6x+y+4=0$  

•  $y+4=-6\left(x-2\right)$  

•  $y-4=-6\left(x+2\right)$  

•  $y-4=6\left(x-2\right)$  

•  $y-4=6\left(x+2\right)$  

Fill in the Blanks

#3a: State the equation of the tangent line using the given information.(Type your answers with NO SPACES)

 $f\left(2\right)=3,\ f'\left(2\right)=5$  

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#3b: Write the equation of the normal line you found below using the given information from question #3. 

(Type your answers with NO SPACES)

 $f\left(2\right)=3,\ f'\left(2\right)=5$  

Fill in the Blanks

#4: Find the derivative of the function below. 
(Type your answer with NO SPACES)

 $f\left(x\right)=6x-x^2$  

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#5: Find the equation of the tangent line for the function at the given x-value. (Type your answer with NO SPACES)

 $f\left(x\right)=6x-x^2$  at  $x=3$  

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#6: Write the equation of the normal line for the function at the given x-value. (Type your answers with NO SPACES)

 $f\left(x\right)=6x-x^2$  at  $x=-1$  

Fill in the Blanks

#7: State the x-values at which the function has a horizontal tangent. 

 $f\left(x\right)=6x-x^2$  

Open Ended

How do you feel about finding the derivative of a function using the limit definition?

Open Ended

How do you feel about finding the equation of tangent lines and normal lines when given a function?

Open Ended

Tell me a random, fun fact about yourself!