MATH241 Study Guide - Midterm Guide: Minute And Second Of Arc

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Instructions: check your examination booklet before you start. There should be 10 items on 5 pages: partial credit will not be given if appropriate work is not shown, answer questions in the space provided. If you need more space for an answer, continue your answer on the back of the page, or/and use the margins of the test pages. Cheating receives a failing grade. page1 page 1 page2 page2 page3 page3 page4 page4 page5 q1 q2 q3 q4 q5 q6 q7 q8 q9 page5 q10. Total: (10 points) find the derivative of f (x) = e5 + ex + xe + arcsin(x2), (10 points) say that x and y are related through the equation x ln(y) = y ln(x). Note that it is impossible to manipulate this equation to obtain y as a function of x explicitly. Use implicit di erentiation to obtain dy dx in terms of x and y.