ON THE DEFINITION OF THE DERIVATIVE

Determine the values of the three roots of the function and the slopes of the lines tangent to the function at these points.

      X1 = _________                 X2 = ________                 X3 = ________

f ' (X1) =  ________           f ' (X2) =  ________          f ' (X3) =  ________

There are three extrema shown (if you ignore the endpoints).  Identify them as maximums or minimums and determine the their values as well as where they occur, from left to right.

MAX   or   MIN    =     _____________________________________

MAX   or   MIN    =     _____________________________________

MAX   or   MIN    =     _____________________________________

 

DERIVATIVE PUZZLE 1

Sketch the answers here once you've gotten them all correct on the applet.

F(x)

 

 

F'(x)

 

 

 

F"(x)

 

DERIVATIVE PUZZLE 2

Sketch the answers here once you've gotten them all correct on the applet.

F(x)

 

 

F'(x)

 

 

 

F"(x)

DERIVATIVE PUZZLE 3

Sketch the answers here once you've gotten them all correct on the applet.

F(x)

 

 

F'(x)

 

 

 

F"(x)

BIG DERIVATIVE PUZZLE

Process Mapping 1


 

 

 

Process Mapping 2

 

 

 

BDP Extra Practice:  Record your scores each trial you complete.