See the WWW document UM Math Gateway Test Software for more on the software used to create the test. We give a derivative gateway test near the end of our first calculus course, Mathematics 115, to assure that the standard techniques of differentiation have been mastered. These skills include the generalized power rule, product rule, and chain rule, as well as rules for the differentiation of trigonometric, exponential, and logarithmic functions. Each test has formulas for seven functions, of which six must be differentiated correctly to pass. The student is allowed 15 minutes for the test.
Students typically require two or three tries to pass it.
A sample copy of the test is available in TeX dvi format by selecting the following icon. Depending on how your Web browser is set up, either the dvi file will be delivered to you or a dvi file viewer or printer will be started when this icon is selected. Select this icon to receive the one-page sample copy of the test. Each question on this test was selected randomly from a group of twenty similar questions, and the question number on the test corresponds to the number of the selected question in the test bank. See the WWW document UM Math Gateway Test Software for more on the software used to create the test.