Math 1314
Review for midterm exam:
Here are the topics for the exam.
1.
Finding the limit of a function from a graph or given a function. (Sec. 10.4)
2.
Finding a one sided limit. (Sec. 10.5)
3.
Determining if a function is continuous at a point.
(Sec. 10.5)
4.
Determining intervals on which a function is continuous.
(Sec. 10.5)
5.
Using the limit definition of the derivative to find the derivative of a quadratic
function.
(Sec. 10.6)
6.
Finding the average rate of change using the difference quotient.
(Sec. 10.6)
7.
Finding the derivative of a function using the rules.
(Sections 11.1 – 11.3, 11.5,
13.3 – 13.4)
8.
Finding an equation of a tangent line.
(Sections 10.6, 11.1 – 11.3, 11.5, 13.3 –
13.4)
9.
Finding values of x for which the tangent line is horizontal. (Sections 10.6, 11.1)
10.
Solving rate of change word problems.
(Sections 10.6, 11.1 – 11.3, 11.5)
11.
Solving marginal function problems and average cost problems.
(Sec. 11.4)
12.
Solving word problems involving exponential functions (Sec. 13.5)
13.
Determining intervals on which a function is increasing/decreasing.
(Sections
12.1, 13.3 – 13.4)
14.
Finding relative extrema.
(Sections 12.1, 13.3 – 13.4)
15.
Determining intervals on which a function is concave upward/concave
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 Fall '08
 MARKS
 Math, Exponential Function, Derivative, c. lim

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