_
Section 3.1
Derivative formula for power functions and polynomials:
6/23 s 5
Definition: the function of the form of: (x) " 3 X l' x " l
f(x) = anx@+ an_1x"1 + + ax + b
is called polynomial function and in particular f(x) = cx" is called
Powerfunction.

M119 Study Guide Test 2: Chapters 2 and 3
Understand that the derivatve at a point, f (a) gives the instantaneous rate of change of the
functon at the point x = a, while the slope of a line that connects two points gives the average rate
of change.
Be abl

4.1 Essential Practice Problems
For each function below (#1-11), analyze the sign of the first derivative and use your analysis to
find intervals where the function is increasing, intervals where the function is decreasing,
critical points (include x and

Chapter 3 Short-Cuts to Differentiation
In this chapter, we learn rules for finding the derivatives of
functions and combinations of functions.
Be sure to work many practice problems from the text in this
chapter for all sections: 3.1, 3.2, 3.3, 3.4.
3.1