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!

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#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      $6x+y+4=0$  

•  $y+4=-6\left(x-2\right)$  

•  $y-4=-6\left(x+2\right)$  

•  $y-4=6\left(x-2\right)$  

•  $y-4=6\left(x+2\right)$  

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#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)

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

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#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  $x=-1$  

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#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!