Definition of the Derivative Part 2 Notes

#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)

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

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

(Type your answers with NO SPACES)

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

 $f\left(x\right)=6x-x^2$  

#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  $x=3$  

#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  $x=-1$  

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

 $f\left(x\right)=6x-x^2$