Point Value : 20

Time limit : 2 min

#1Find

dy

dx

#1

Point Value : 30

Time limit : 2.5 min

#2Find

dy

dx

#2

Point Value : 40

Time limit : 2.5 min

#3Find

dy

dx

#3

Point Value : 50

Time limit : 3 min

#4Find

dy

dx

#4

Point Value : 30

Time limit : 2.5 min

#5For each of the following equations, find the equation of the tangent line at the given point.

#5 To find the equation of the tangent line of

                                      First, we find the derivative:

                                                      

The equation of the tangent line is: y = 0.25x + .5

Point Value : 40

Time limit : 3 min

#6For each of the following equations, find the equation of the tangent line at the given point.

#6 To find the equation of the tangent line of

                      

           First, we find the derivative:

   

                                The equation of the tangent line is: y = (-2/3)x + (2/3)

Point Value : 50

Time limit : 4 min

#7For each of the following equations, find the equation of the tangent line at the given point.

#7 To find the equation of the tangent line of

               

                    First, we find the derivative:

                                                                              

The equation of the tangent line is: y = (-56/13)x + (160/13)

Point Value : 30

Time limit : 2.5 min

#8For each of the following equations, find the equation of the tangent line at the given point.

#8To find the equation of the tangent line of

                                           

First, we find the derivative:

                                                          

The equation of the tangent line is: y = -14x +46

Point Value : 40

Time limit : 2.5 min

#9

Find if .2

2

d y

dx3 22 3 7x y

#9

3 22 3 7x y

26 6 0x y y

26 6y y x

26

6

xy

y

2xy

y

2

2

2y x x yy

y

2

2

2x xy y

y y

2 2

2

2x xy

y

x

yy

4

3

2x xy

y y

Substitute back into the equation.

y

Point Value : 30

Time limit : 2 min

#10

23 7

y xx

Find the derivative:

Point Value : 30

Time limit : 2 min

#11

3 2 5f x x x

Find the derivative:

Point Value : 30

Time limit : 2 min

#12

3 4 4 1f x x x Find the derivative:

Point Value : 30

Time limit : 2 min

#13

32 22 5 4y x x

Find the derivative:

Point Value : 30

Time limit : 2 min

#14

4 3tang x x

Find the derivative:

Point Value : 30

Time limit : 2.5 min

#15

35

2 1

xy

x

Find the derivative:

Point Value : 30

Time limit : 2 min

#16Find the derivative:

sin tan 3y x