Midterm
2 Review
(midterm scheduled for Thursday, February 26th)
I will ask you to:
-Use the definition of a derivative to find
the
derivative of a quadratic (p. 168 #20).
-Sketch a graph of f ‘(x) given a graph of
f(x) (p.
183 #32-34).
-Use the
derivative to find the equation of a line tangent to a function and
then graph
the function and the tangent line on the same graph (p. 197 #31-34).
-Find derivatives using rules of
differentiation (see
your guide to derivatives and you will find practice problems
throughout
chapter 3). This will include at least
*one
case where you have to use two rules of
differentiation to find the derivative (p. 259 #1-30)
*one
case where you have to find the second
derivative as well (p. 197 #39, 40).
*one
case where you have to find (for example) the
50th derivative of a trigonometric function (p. 224 #33, 34).
-Find the derivative of an equation using
implicit
differentiation (p. 243 #3-12)
-Sketch a graph of f ‘(x) given a graph of
f(x) (p.
183 #32-34).
-Find where a given function f(x) is
increasing and
decreasing, concave up and concave down, and has horizontal tangents as
in
maxima, minima, and otherwise (p. 197 #43-47, p.224#27,28)